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Finding the Fourth Proportional to 16,400, 22,632 and 9,776

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Solution

The fourth proportional to 16,400, 22,632 and 9,776 is: 13,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 22,632 = 9,776 : x
  2. Step 2: Convert to fraction form
    16,400/22,632 = 9,776/x
  3. Step 3: Cross multiply
    16,400x = 22,632 × 9,776
  4. Step 4: Simplify right side
    16,400x = 221,250,432
  5. Step 5: Solve for x
    x = 221,250,432/16,400
  6. Step 6: Final answer
    x = 13,490.88

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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.