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Finding the Fourth Proportional to 8,654.75, 12,983.75 and 4,037.75

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Solution

The fourth proportional to 8,654.75, 12,983.75 and 4,037.75 is: 6,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.75 : 12,983.75 = 4,037.75 : x
  2. Step 2: Convert to fraction form
    8,654.75/12,983.75 = 4,037.75/x
  3. Step 3: Cross multiply
    8,654.75x = 12,983.75 × 4,037.75
  4. Step 4: Simplify right side
    8,654.75x = 52,425,136.56
  5. Step 5: Solve for x
    x = 52,425,136.56/8,654.75
  6. Step 6: Final answer
    x = 6,057.38

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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.