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Finding the Fourth Proportional to 8,777.91, 13,167.74 and 3,781.96

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Solution

The fourth proportional to 8,777.91, 13,167.74 and 3,781.96 is: 5,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.91 : 13,167.74 = 3,781.96 : x
  2. Step 2: Convert to fraction form
    8,777.91/13,167.74 = 3,781.96/x
  3. Step 3: Cross multiply
    8,777.91x = 13,167.74 × 3,781.96
  4. Step 4: Simplify right side
    8,777.91x = 49,799,865.97
  5. Step 5: Solve for x
    x = 49,799,865.97/8,777.91
  6. Step 6: Final answer
    x = 5,673.32

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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.