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Finding the Fourth Proportional to 15,101.78, 20,839.71 and 8,387.82

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Solution

The fourth proportional to 15,101.78, 20,839.71 and 8,387.82 is: 11,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.78 : 20,839.71 = 8,387.82 : x
  2. Step 2: Convert to fraction form
    15,101.78/20,839.71 = 8,387.82/x
  3. Step 3: Cross multiply
    15,101.78x = 20,839.71 × 8,387.82
  4. Step 4: Simplify right side
    15,101.78x = 174,799,767.79
  5. Step 5: Solve for x
    x = 174,799,767.79/15,101.78
  6. Step 6: Final answer
    x = 11,574.78

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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.