Practical Problems for Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be expressed in the form a/b = c/d, where a, b, c, and d are numbers.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is the formula for finding the missing value in a proportion?

Back

The formula for finding the missing value in a proportion is x = (b * d) / c, where x is the missing value, a/b = c/d.

Front

How can you use proportions to solve real-world problems?

Back

Proportions can be used to solve real-world problems by setting up a ratio based on the given information and finding the unknown quantity.

Front

What is the relationship between the quantities in a direct proportion?

Back

In a direct proportion, as one quantity increases, the other quantity also increases at a constant rate.

Front

What is the relationship between the quantities in an inverse proportion?

Back

In an inverse proportion, as one quantity increases, the other quantity decreases, such that their product remains constant.

Front

How do you set up a proportion from a word problem?

Back

To set up a proportion from a word problem, identify the two quantities that are being compared and express them as a ratio.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the factor that relates two proportional quantities, indicating how much one quantity changes in relation to another.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then ad = bc.

Front

What is a scale factor in relation to proportions?

Back

A scale factor is a number that scales, or multiplies, a quantity. In proportions, it is the ratio of the lengths of corresponding sides of similar figures.