To solve: the proportion −1854=3n for the given variable n.

Question

komunidadO · Accepted Answer

Approach:
If two ratios are equal then it is a proportion. If

\frac{p}{q}

and

\frac{r}{s}

are two ratios, then

\frac{p}{q} = \frac{r}{s}

is a proportion.
Ex:

\frac{3}{4} = \frac{15}{20}

For finding unknown numbers in proportions, we use cross product to find the unknown number.
Ex:

\frac{2}{7} = \frac{x}{14}

Here in the example x is the unknown number. To calculate the value of x, we use the cross product.
Calculation:
Given

\frac{- 18}{54} = \frac{3}{n}

Apply the cross product in order to find the unknown number.

- 18 \times n = 54 \times 3

- 18 n = 162

Divide both the sides by -18

\frac{- 18 n}{- 18} = \frac{162}{- 18}

n = - 9

Final statement: The solution for the proportion

\frac{- 18}{54} = \frac{3}{n}

for the variable is

n = - 9

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

To solve: the proportion \frac{-18}{54}=\frac{3}{n} for the given variable n.