Proportional Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the formula for finding the height of an object using shadows?

Back

Height of object / Length of shadow = Height of another object / Length of its shadow.

Front

If a fence post is 2 meters tall and casts a shadow of 5 meters, what is the height of a tree that casts a shadow of 108 meters?

Back

The height of the tree is 43.2 meters.

Front

What percentage of students are left-handed if 6 out of 30 students are left-handed?

Back

20% of the students are left-handed.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

If a team is projected to win 70% of their games and they play 190 games, how many games should they win?

Back

They should win 133 games.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

What does it mean to cross-multiply in a proportion?

Back

Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If k is found to be 5 in a proportion, what does this indicate?

Back

It indicates the value of the variable k that makes the two ratios equal.