Math Examples: Solving Proportions Algebraically

Instructions:

Worked-out examples of solving proportions.

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Solving Proportions: Example 1. Solving a proportion of the form A over B equals C over D for a. Other variables expressed as numbers.

Solving Proportions: Example 2. Solving a proportion of the form A over B equals C over D for a. Other variables expressed as variables and numbers.

Solving Proportions: Example 3. Solving a proportion of the form A over B equals C over D for b. Other variables expressed as numbers.

Solving Proportions: Example 4. Solving a proportion of the form A over B equals C over D for b. Other variables expressed as variables and numbers.

Solving Proportions: Example 5. Solving a proportion of the form A over B equals C over D for c. Other variables expressed as numbers.

Solving Proportions: Example 6. Solving a proportion of the form A over B equals C over D for c. Other variables expressed as variables and numbers.

Solving Proportions: Example 7. Solving a proportion of the form A over B equals C over D for d. Other variables expressed as numbers.

Solving Proportions: Example 8. Solving a proportion of the form A over B equals C over D for d. Other variables expressed as variables and numbers.

Solving Proportions: Example 9. Given two similar triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 10. Given two similar triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.

Solving Proportions: Example 11. Given two similar right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 12. Given two similar right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.

Solving Proportions: Example 13. Given two similar 30-60-90 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 14. Given two similar 30-60-90 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.

Solving Proportions: Example 15. Given two similar 3-4-5 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 16. Given two similar 3-4-5 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.

Solving Proportions: Example 17. Given two similar 5-12-13 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 18. Given two similar 5-12-13 right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.

Solving Proportions: Example 19. Given two similar isosceles right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers.

Solving Proportions: Example 20. Given two similar isosceles right triangles, solving a proportion to find the length of an unknown side, when all side lengths are expressed as numbers and variables.