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Finding the Fourth Proportional to 10,947.60, 16,397.10 and 9,489.60

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Solution

The fourth proportional to 10,947.60, 16,397.10 and 9,489.60 is: 14,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.60 : 16,397.10 = 9,489.60 : x
  2. Step 2: Convert to fraction form
    10,947.60/16,397.10 = 9,489.60/x
  3. Step 3: Cross multiply
    10,947.60x = 16,397.10 × 9,489.60
  4. Step 4: Simplify right side
    10,947.60x = 155,601,920.16
  5. Step 5: Solve for x
    x = 155,601,920.16/10,947.60
  6. Step 6: Final answer
    x = 14,213.34

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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.