Proportions Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

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

Back

Front

What is cross-multiplication in proportions?

Back

Front

How do you solve for an unknown in a proportion?

Back

Front

What is the scale factor in a proportion?

Back

The scale factor is the ratio of the dimensions of the original object to the dimensions of the scaled object. For example, if a painting is enlarged from 3 inches to 15 inches in width, the scale factor is 5.

Front

How do you find the new height when enlarging a painting?

Back

Front

What is the relationship between distance and scale on a map?

Back

The relationship is defined by a scale ratio, such as 1 cm : 13 miles. This means that 1 cm on the map represents 13 miles in reality.

Front

How do you convert real distances to map distances?

Back

To convert real distances to map distances, use the scale ratio. For example, if the real distance is 104 miles and the scale is 1 cm : 13 miles, divide 104 by 13 to find the map distance.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit, such as miles per hour.

Front

How do you find a unit rate from a proportion?

Back