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Finding the Fourth Proportional to 8,489.70, 12,727.89 and 4,105.98

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Solution

The fourth proportional to 8,489.70, 12,727.89 and 4,105.98 is: 6,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.70 : 12,727.89 = 4,105.98 : x
  2. Step 2: Convert to fraction form
    8,489.70/12,727.89 = 4,105.98/x
  3. Step 3: Cross multiply
    8,489.70x = 12,727.89 × 4,105.98
  4. Step 4: Simplify right side
    8,489.70x = 52,260,461.78
  5. Step 5: Solve for x
    x = 52,260,461.78/8,489.70
  6. Step 6: Final answer
    x = 6,155.75

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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.