Question
- The fourth proportional to 12, 14 and 18 is
Answer: Option B
The fourth proportional to 12, 14 and 18 can be found by using the formula of proportion. In mathematics, proportion refers to the equality of ratios, i.e., two or more quantities are proportional if their ratio is equal.
A proportion can be written in the form of a:b = c:d where a, b, c, and d are any four numbers. The fourth proportional to a, b and c can be found using the following formula:
d = (b * c) / a
Now, let's apply the formula to find the fourth proportional to 12, 14 and 18:
Given, a = 12, b = 14 and c = 18
So, d = (b * c) / a= (14 * 18) / 12= 21
Hence, the fourth proportional to 12, 14 and 18 is 21. So, the correct option is B.
Let's summarize the solution in bullet points:
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The fourth proportional to 12, 14 and 18 can be found by using the formula of proportion. In mathematics, proportion refers to the equality of ratios, i.e., two or more quantities are proportional if their ratio is equal.
A proportion can be written in the form of a:b = c:d where a, b, c, and d are any four numbers. The fourth proportional to a, b and c can be found using the following formula:
d = (b * c) / a
Now, let's apply the formula to find the fourth proportional to 12, 14 and 18:
Given, a = 12, b = 14 and c = 18
So, d = (b * c) / a= (14 * 18) / 12= 21
Hence, the fourth proportional to 12, 14 and 18 is 21. So, the correct option is B.
Let's summarize the solution in bullet points:
- Proportion refers to the equality of ratios
- The formula to find the fourth proportional is d = (b * c) / a
- Given, a = 12, b = 14 and c = 18
- Applying the formula, d = (14 * 18) / 12 = 21
- Hence, the fourth proportional to 12, 14 and 18 is 21.
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fourth proportion is d.
12/14=18/d
d=18*7/6
therefore, d =21 which is your fourth proportional.
=252=14x
=x=252%14
=21
12*x=14*18