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Finding the Fourth Proportional to 9,906.78, 14,862.60 and 2,981.28

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Solution

The fourth proportional to 9,906.78, 14,862.60 and 2,981.28 is: 4,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.78 : 14,862.60 = 2,981.28 : x
  2. Step 2: Convert to fraction form
    9,906.78/14,862.60 = 2,981.28/x
  3. Step 3: Cross multiply
    9,906.78x = 14,862.60 × 2,981.28
  4. Step 4: Simplify right side
    9,906.78x = 44,309,572.13
  5. Step 5: Solve for x
    x = 44,309,572.13/9,906.78
  6. Step 6: Final answer
    x = 4,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.