Q24. - Algebra 1

Question

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

$\frac{2.4}{3.6}=\frac{k}{1.8}$

Step-by-Step Solution

Answer

The value of $k=\text{1.2}$.

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:

$$\begin{gathered} \frac{2.4}{3.6}=\frac{k}{1.8} \\ 1.8\left(2.4\right)=\left(k\right)3.6 \end{gathered}$$

Step-3. Simplify for k .

To further simplify, divide each side by 3.6.

$$\begin{gathered} 1.8\left(2.4\right)=\left(k\right)3.6 \\ \text{4.32}=3.6k \\ \frac{\text{4.32}}{3.6}=\frac{3.6k}{3.6} \\ k=\text{1.2} \end{gathered}$$

Therefore, the value of $k=\text{1.2}$.