Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for c in a proportion where a = 8, b = 3, and d is expressed as x + 3. We set up the equation 8 / 3 = c / (x + 3) and solve for c, resulting in the expression c = (8(x + 3)) / 3. This problem demonstrates how to handle algebraic expressions in the denominator of a proportion.

Ratios and proportions are fundamental concepts in mathematics, forming the basis for understanding relationships between quantities. This collection of examples helps teach the topic by presenting various scenarios, from simple numeric proportions to more complex algebraic ones, allowing students to see the versatility of the concept in different mathematical contexts.

Providing multiple worked-out examples is crucial for students to fully comprehend proportions. Each example builds on the previous ones, introducing new elements and reinforcing the core principles. This approach helps students develop problem-solving skills and recognize patterns in different types of proportion problems.

Teacher's Script: "Let's examine this proportion problem with an algebraic expression in the denominator. We'll set up the equation 8 / 3 = c / (x + 3) and solve for c. Notice how we handle the variable term. This method will be useful when dealing with more complex proportions involving algebraic expressions, especially in geometry and physics problems."

For a complete collection of math examples related to Solving Proportions click on this link: Math Examples: Solving Proportions Collection.