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Finding the Fourth Proportional to 8,462.92, 12,699.87 and 3,785.80

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Solution

The fourth proportional to 8,462.92, 12,699.87 and 3,785.80 is: 5,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.92 : 12,699.87 = 3,785.80 : x
  2. Step 2: Convert to fraction form
    8,462.92/12,699.87 = 3,785.80/x
  3. Step 3: Cross multiply
    8,462.92x = 12,699.87 × 3,785.80
  4. Step 4: Simplify right side
    8,462.92x = 48,079,167.85
  5. Step 5: Solve for x
    x = 48,079,167.85/8,462.92
  6. Step 6: Final answer
    x = 5,681.16

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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.