Proportion Problems

A proportion is a statement that two ratios are equal. In other words, a proportion is an equation that shows that two ratios are equivalent. Proportion problems involve finding the missing value in a set of equivalent ratios. To solve proportion problems, you can use the method of cross multiplication.

Example:

If 2/5 = x/10, find the value of x.

To solve this proportion problem, you can use cross multiplication:

2 * 10 = 5 * x

20 = 5x

x = 20/5

x = 4

Study Guide:

When solving proportion problems, follow these steps:

Identify the given ratios and the missing value.
Set up the proportion equation using the given ratios and the missing value.
Use cross multiplication to solve for the missing value.
Check your answer by substituting the value back into the original proportion equation to ensure it satisfies the equality.

Practice solving various proportion problems to become familiar with the method and to improve your problem-solving skills.

Remember, proportions are commonly used in real-life situations, such as scaling drawings, determining equivalent quantities, and solving problems involving rates and ratios.

Good luck with your studies!

◂Math Worksheets and Study Guides Fifth Grade. Graphs and Tables

The resources above cover the following skills:

Geometry (NCTM)

Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

Make and use coordinate systems to specify locations and to describe paths.

Connections to the Grade 5 Focal Points (NCTM)

Data Analysis: Students apply their understanding of whole numbers, fractions, and decimals as they construct and analyze double-bar and line graphs and use ordered pairs on coordinate grids.