Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates how to solve a proportion problem where two ratios a:b and c:d are proportional. Given the values b = 3, c = 4, and d = 6, we need to find the value of a. The proportion is set up as a / 3 = 4 / 6, which is then solved to find that a = 2.

Understanding ratios and proportions is fundamental in mathematics, with applications in various fields such as geometry, physics, and everyday problem-solving. This collection of examples helps teach the topic by providing step-by-step solutions to different scenarios, allowing students to see how the concept applies in various contexts.

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of proportions. Each example reinforces the basic principles while introducing slight variations, helping students develop a more comprehensive understanding and the ability to tackle diverse problems.

Teacher's Script: "Let's examine this proportion problem together. We'll set up the equation a / 3 = 4 / 6 and solve for a. Notice how we can cross-multiply to simplify our calculation. This method will be useful in many similar problems we'll encounter."

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