Determine if the following are in proportion: $24, 28, 36, 48$

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Solution

We have,
$24, 28, 36, 48$
$\begin{array}{rcl} Ratio of 24 and 28 & = & \frac{24}{28} \\ Dividing numerator and denominator by 4 \\ = & \frac{6}{7} \\ = & 6 : 7 \end{array}$
$\begin{array}{rcl} Ratio of 36 and 48 & = & \frac{36}{48} \\ Dividing numerator and denominator by 12 \\ = & \frac{3}{4} \\ = & 3 : 4 \end{array}$
Since, $24 : 28 \neq 36 : 48$
Hence, $24, 28, 36, 48$ are not in proportion.

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5 : x = 20 : 24 \Rightarrow \frac{5}{x} = \frac{20}{24} \Rightarrow x \times 20 = 5 \times 24 \Rightarrow 20 x = 120 \Rightarrow x = \frac{120}{20} \Rightarrow x = \frac{6}{1} \Rightarrow x = 6

Determine if the following are in proportion.

$24, 28, 36, 48$

Question 1(c)

Determine if the following are in proportion:

24, 28, 36, 48

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