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Finding the Fourth Proportional to 17,854.80, 24,642 and 11,147.28

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Solution

The fourth proportional to 17,854.80, 24,642 and 11,147.28 is: 15,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.80 : 24,642 = 11,147.28 : x
  2. Step 2: Convert to fraction form
    17,854.80/24,642 = 11,147.28/x
  3. Step 3: Cross multiply
    17,854.80x = 24,642 × 11,147.28
  4. Step 4: Simplify right side
    17,854.80x = 274,691,273.76
  5. Step 5: Solve for x
    x = 274,691,273.76/17,854.80
  6. Step 6: Final answer
    x = 15,384.73

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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.