If m is proportional to n and m = 5 when n =4, then what is the value of m when n = 18? Option 1: 7.5 Option 2: 12.5 Option 3: 17.5 Option 4: 22.5

Answer: 22.5. Solution: When m is proportional to n, this can be written as: m = k x n where k is a constant. Given that m = 5 when n = 4: 5 = k x 4 k = 5/4 k = 1.25 Using k = 1.25 to find m when n = 18: m = k x n m = 1.25 x 18 m = 22.5 Alternatively, since the ratio remains constant in proportional relationships: m_1/n_1 = m_2/n_2 5/4 = m/18 m = (5 x 18)/4 m = 90/4 m = 22.5 Therefore, when n = 18, the value of m = 22.5.

Arithmetic

Ratio, Proportion & Variation

Easy

If m is proportional to n and m = 5 when n =4, then what is the value of m when n = 18?

7.5

12.5

17.5

22.5

✅ Correct Option: 4

When m is proportional to n, this can be written as:

$m = k \times n$

where $k$ is a constant.

Given that $m = 5$ when $n = 4$ :

$5 = k \times 4$

$k = \frac{5}{4}$

$k = 1.25$

Using $k = 1.25$ to find m when $n = 18$ :

$m = k \times n$

$m = 1.25 \times 18$

$m = 22.5$

Alternatively, since the ratio remains constant in proportional relationships:

$\frac{m_1}{n_1} = \frac{m_2}{n_2}$

$\frac{5}{4} = \frac{m}{18}$

$m = \frac{5 \times 18}{4}$

$m = \frac{90}{4}$

$m = 22.5$

Therefore, when $n = 18$ , the value of $m = 22.5$ .

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