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Finding the Fourth Proportional to 8,489.60, 12,737.28 and 3,296

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Solution

The fourth proportional to 8,489.60, 12,737.28 and 3,296 is: 4,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 12,737.28 = 3,296 : x
  2. Step 2: Convert to fraction form
    8,489.60/12,737.28 = 3,296/x
  3. Step 3: Cross multiply
    8,489.60x = 12,737.28 × 3,296
  4. Step 4: Simplify right side
    8,489.60x = 41,982,074.88
  5. Step 5: Solve for x
    x = 41,982,074.88/8,489.60
  6. Step 6: Final answer
    x = 4,945.12

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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.