Fourth Proportional Calculation
To find the fourth proportional to three given numbers, we establish a proportion where the ratio of the first two numbers equals the ratio of the third number to the fourth proportional.
Let the given numbers be $a = 3.6$, $b = 6.9$, and $c = 11.4$. Let the fourth proportional be $d$. The proportion is set up as:
$ a : b = c : d $
Substituting the values:
$ 3.6 : 6.9 = 11.4 : d $
Solving the Proportion Equation
This proportion can be written as a fraction equation:
$ \frac{3.6}{6.9} = \frac{11.4}{d} $
To find $d$, we can rearrange the equation. Cross-multiplying gives:
$ 3.6 \times d = 6.9 \times 11.4 $
First, calculate the product of 6.9 and 11.4:
$ 6.9 \times 11.4 = 78.66 $
Now the equation is:
$ 3.6 \times d = 78.66 $
Isolate $d$ by dividing both sides by 3.6:
$ d = \frac{78.66}{3.6} $
Performing the division yields:
$ d = 21.85 $
Rounding the result to one decimal place, we find the fourth proportional is 21.9.
Similar Questions
The fourth proportional to 1.2, 4.8, and 7.15 is:
Three numbers in the ratio 2 : 5 : 7 are taken as the first, second, and third terms, respectively. If their fourth proportional is 140, find the middle number.
The fourth proportional to 4, 6, and 8 is m. The third proportional to 8 and m is n. What is the value of n?
The fourth proportional to three positive numbers is 120. If the first number is twice the second, and the third number is five times the first, then find the sum of all the three numbers.
If the fourth proportional to 5, 15, and 25 is k, then find k.
The fourth proportional to the first number, the second number, and 20 is 36. If the sum of the first two numbers is 14, find the geometric mean of the first two numbers.
If \(x\) is the fourth proportional of 37, 25 and 888, what is the value of \(x\)?
Find the positive integral value of x if the fourth proportional of x, x + 1, 2x + 3 is y and y = 3x + 3.
What is the smallest natural number 'x' that needs to be subtracted from 13 and 25 so that the fourth proportional of the resulting numbers is 49?
Important Questions from Fourth Proportional
If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).
Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
The fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9?
The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36. What is the value of A?
