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Finding the Fourth Proportional to 8,132.88, 12,200.54 and 2,939.97

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Solution

The fourth proportional to 8,132.88, 12,200.54 and 2,939.97 is: 4,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.88 : 12,200.54 = 2,939.97 : x
  2. Step 2: Convert to fraction form
    8,132.88/12,200.54 = 2,939.97/x
  3. Step 3: Cross multiply
    8,132.88x = 12,200.54 × 2,939.97
  4. Step 4: Simplify right side
    8,132.88x = 35,869,221.58
  5. Step 5: Solve for x
    x = 35,869,221.58/8,132.88
  6. Step 6: Final answer
    x = 4,410.40

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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.