Chapter 6.3, Problem 1E

To determine

To find: the cross products of the proportion $\frac{3}{4}=\frac{9}{12}$ .

Answer to Problem 1E

The cross products of the proportion $\frac{3}{4}=\frac{9}{12}$ are $36=36$ .

Explanation of Solution

Given information: The provided proportion is $\frac{3}{4}=\frac{9}{12}$ .

Calculation :

The product of the numerator of one ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion. If the cross products are equal, then the ratios form a proportion.

Follow the steps below to find out the cross products of the proportion $\frac{3}{4}=\frac{9}{12}$ .

  $\begin{array}{l}\frac{3}{4}=\frac{9}{12}\text{ [Write the proportion}\text{.]}\\ 3\times 12=4\times 9\text{ [Form cross products}\text{.]}\\ 36=36\text{ [Multiply}\text{.]}\end{array}$

Hence, the cross products of the proportion are $36=36$ .