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Finding the Fourth Proportional to 8,502.68, 12,757.87 and 4,340.54

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Solution

The fourth proportional to 8,502.68, 12,757.87 and 4,340.54 is: 6,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.68 : 12,757.87 = 4,340.54 : x
  2. Step 2: Convert to fraction form
    8,502.68/12,757.87 = 4,340.54/x
  3. Step 3: Cross multiply
    8,502.68x = 12,757.87 × 4,340.54
  4. Step 4: Simplify right side
    8,502.68x = 55,376,045.05
  5. Step 5: Solve for x
    x = 55,376,045.05/8,502.68
  6. Step 6: Final answer
    x = 6,512.78

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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.