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Finding the Fourth Proportional to 8,489.68, 12,734.25 and 3,491.86

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Solution

The fourth proportional to 8,489.68, 12,734.25 and 3,491.86 is: 5,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.68 : 12,734.25 = 3,491.86 : x
  2. Step 2: Convert to fraction form
    8,489.68/12,734.25 = 3,491.86/x
  3. Step 3: Cross multiply
    8,489.68x = 12,734.25 × 3,491.86
  4. Step 4: Simplify right side
    8,489.68x = 44,466,218.21
  5. Step 5: Solve for x
    x = 44,466,218.21/8,489.68
  6. Step 6: Final answer
    x = 5,237.68

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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.