# How do you use cross products to solve 4/p=14/28?

Aug 25, 2017

$p = 8$

#### Explanation:

$\text{using the method of "color(blue)"cross-products}$

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$\Rightarrow \frac{4}{p} = \frac{14}{28}$

$\Rightarrow 14 p = 4 \times 28$

$\Rightarrow p = \frac{4 \times {\cancel{28}}^{2}}{\cancel{14}} ^ 1 = = 4 \times 2 = 8$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

$\text{left side } = \frac{4}{8} = \frac{1}{2}$

$\text{right side } = \frac{14}{28} = \frac{1}{2}$

$\Rightarrow p = 8 \text{ is the solution}$