Question

What should be added to 4.981 to get 6?
Explain in detail

Answer 1

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What number should be added to each of 6, 14, 18 and 38 so that the resulting numbers make a proportion?

You can write a proportion. If we let x = the number that should be added, then we can write: (6 + x)/(14 + x) = (18 + x)/(38 + x). If we cross multiply, we get the equation (6 + x)(38 + x) = (14 + x)(18 + x). FOILING each side of the last equation, we get 228 + 44x + x squared (that is, x times x) = 252 + 32x +x squared. If we subtract x squared from each side, we have 228 + 44x = 252 + 32x. Now subtract 32x from each side, we get 228 + 12x = 252. Next, subtract 228 from each side of this last equation and get 12x = 24. Finally, divide both sides by 12 to get x = 2.

Check: Adding 2 to each of the original numbers, we get 8, 16, 20, and 40. These numbers are proportional since 8/16 = 20/40 (each of these ratios are equal to 1/2).