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Finding the Fourth Proportional to 8,663.77, 12,997.02 and 3,734.80

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Solution

The fourth proportional to 8,663.77, 12,997.02 and 3,734.80 is: 5,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.77 : 12,997.02 = 3,734.80 : x
  2. Step 2: Convert to fraction form
    8,663.77/12,997.02 = 3,734.80/x
  3. Step 3: Cross multiply
    8,663.77x = 12,997.02 × 3,734.80
  4. Step 4: Simplify right side
    8,663.77x = 48,541,270.30
  5. Step 5: Solve for x
    x = 48,541,270.30/8,663.77
  6. Step 6: Final answer
    x = 5,602.79

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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.