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Finding the Fourth Proportional to 16,128, 22,248.96 and 11,414.88

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Solution

The fourth proportional to 16,128, 22,248.96 and 11,414.88 is: 15,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128 : 22,248.96 = 11,414.88 : x
  2. Step 2: Convert to fraction form
    16,128/22,248.96 = 11,414.88/x
  3. Step 3: Cross multiply
    16,128x = 22,248.96 × 11,414.88
  4. Step 4: Simplify right side
    16,128x = 253,969,208.52
  5. Step 5: Solve for x
    x = 253,969,208.52/16,128
  6. Step 6: Final answer
    x = 15,747.10

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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.