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Finding the Fourth Proportional to 15,553.46, 21,471 and 9,177.96

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Solution

The fourth proportional to 15,553.46, 21,471 and 9,177.96 is: 12,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,553.46 : 21,471 = 9,177.96 : x
  2. Step 2: Convert to fraction form
    15,553.46/21,471 = 9,177.96/x
  3. Step 3: Cross multiply
    15,553.46x = 21,471 × 9,177.96
  4. Step 4: Simplify right side
    15,553.46x = 197,059,979.16
  5. Step 5: Solve for x
    x = 197,059,979.16/15,553.46
  6. Step 6: Final answer
    x = 12,669.85

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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.