What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?
11
Let \(x\) be the added number. For the four numbers to be in proportion:
\[\tfrac{94+x}{24+x} = \tfrac{100+x}{26+x}\]
Cross-multiplying and cancelling the \(x^2\) terms:
\[2444 + 120x = 2400 + 124x \implies 44 = 4x \implies x = 11\]
Check: 105 : 35 = 3 and 111 : 37 = 3. Hence the number is 11.
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 fourth proportional to 24, 120 and 22?
What is the fourth proportional to 189, 273 and 153?
What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9?
Fourth proportion to 12, 18 and 6 is same as the third proportion to k and 6. What is the value of k?
Find the fourth proportional to the numbers 17, 272 and 19.
Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
What is the fourth proportional to 6, 24 and 83?
In a proportion, the 1st, 2nd and 4th terms are 51, 68 and 108, respectively. What is the 3rd term?
What is the fourth proportional to 7, 15 and 21?
Find the fourth proportional of (x4 - y4), (x + y) and (x − y), provided x ≠ y.
What is the fourth proportional to the numbers 8, 66 and 112?
The fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
The fourth proportional to 10, 12, 15 is :
Find the fourth proportion of the following numbers.
\(\frac{1}{3}\) of 18, \(\frac{4}{5}\) of 20, \(\frac{3}{7}\) of 28.