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Select the correct answerThe fourth proportional to 2,12, and 3 isOptions11814225

Question

Select the correct answer

The fourth proportional to 2, 12, and 3 is
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Solution

1. ### Break Down the Problem

We need to find the fourth proportional to the numbers 2, 12, and 3. The fourth proportional x x to three numbers a,b,c a, b, c can be found using the proportion:

ab=cx \frac{a}{b} = \frac{c}{x}

2. ### Relevant Concepts

The fourth proportional is defined as follows:

Given three quantities a,b,c a, b, c , the fourth proportional x x can be calculated using the formula:

x=bca x = \frac{b \cdot c}{a}

Here, a=2 a = 2 , b=12 b = 12 , and c=3 c = 3 .

3. ### Analysis and Detail

Let's substitute the values into the formula:

x=1232 x = \frac{12 \cdot 3}{2}

Calculating this step-by-step:

  1. Calculate the product of b b and c c : 123=36 12 \cdot 3 = 36

  2. Now divide by a a : x=362=18 x = \frac{36}{2} = 18

4. ### Verify and Summarize

The fourth proportional to 2, 12, and 3 is calculated to be 18.

Final Answer

The fourth proportional to 2, 12, and 3 is 18 \boxed{18} .

This problem has been solved

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