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Finding the Fourth Proportional to 15,991.97, 22,068.59 and 9,278.19

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Solution

The fourth proportional to 15,991.97, 22,068.59 and 9,278.19 is: 12,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.97 : 22,068.59 = 9,278.19 : x
  2. Step 2: Convert to fraction form
    15,991.97/22,068.59 = 9,278.19/x
  3. Step 3: Cross multiply
    15,991.97x = 22,068.59 × 9,278.19
  4. Step 4: Simplify right side
    15,991.97x = 204,756,524.66
  5. Step 5: Solve for x
    x = 204,756,524.66/15,991.97
  6. Step 6: Final answer
    x = 12,803.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.