Q17. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{4}{9}=\frac{13}{q}$

Step-by-Step Solution

Answer

The value of $q=\text{29.25}$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{4}{9}=\frac{13}{q}\\ q\left(4\right)=\left(13\right)9\end{array}$

Step-3. Simplify for q .

To further simplify, divide each side by 4.

$$\begin{gathered} q\left(4\right)=\left(13\right)9 \\ 4q=\text{117} \\ \frac{4q}{4}=\frac{117}{4} \\ q=\text{29.25} \end{gathered}$$

Therefore, the value of $q=\text{29.25}$.