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Finding the Fourth Proportional to 6,487.28, 8,951.94 and 3,654.50

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Solution

The fourth proportional to 6,487.28, 8,951.94 and 3,654.50 is: 5,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.28 : 8,951.94 = 3,654.50 : x
  2. Step 2: Convert to fraction form
    6,487.28/8,951.94 = 3,654.50/x
  3. Step 3: Cross multiply
    6,487.28x = 8,951.94 × 3,654.50
  4. Step 4: Simplify right side
    6,487.28x = 32,714,864.73
  5. Step 5: Solve for x
    x = 32,714,864.73/6,487.28
  6. Step 6: Final answer
    x = 5,042.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.