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Finding the Fourth Proportional to 8,739.80, 13,098.02 and 3,187.92

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Solution

The fourth proportional to 8,739.80, 13,098.02 and 3,187.92 is: 4,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.80 : 13,098.02 = 3,187.92 : x
  2. Step 2: Convert to fraction form
    8,739.80/13,098.02 = 3,187.92/x
  3. Step 3: Cross multiply
    8,739.80x = 13,098.02 × 3,187.92
  4. Step 4: Simplify right side
    8,739.80x = 41,755,491.03
  5. Step 5: Solve for x
    x = 41,755,491.03/8,739.80
  6. Step 6: Final answer
    x = 4,777.63

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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.