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Finding the Fourth Proportional to 10,951.20, 16,397.64 and 9,639

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Solution

The fourth proportional to 10,951.20, 16,397.64 and 9,639 is: 14,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.20 : 16,397.64 = 9,639 : x
  2. Step 2: Convert to fraction form
    10,951.20/16,397.64 = 9,639/x
  3. Step 3: Cross multiply
    10,951.20x = 16,397.64 × 9,639
  4. Step 4: Simplify right side
    10,951.20x = 158,056,851.96
  5. Step 5: Solve for x
    x = 158,056,851.96/10,951.20
  6. Step 6: Final answer
    x = 14,432.83

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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.