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Finding the Fourth Proportional to 8,381.53, 12,573.92 and 3,187

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Solution

The fourth proportional to 8,381.53, 12,573.92 and 3,187 is: 4,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.53 : 12,573.92 = 3,187 : x
  2. Step 2: Convert to fraction form
    8,381.53/12,573.92 = 3,187/x
  3. Step 3: Cross multiply
    8,381.53x = 12,573.92 × 3,187
  4. Step 4: Simplify right side
    8,381.53x = 40,073,083.04
  5. Step 5: Solve for x
    x = 40,073,083.04/8,381.53
  6. Step 6: Final answer
    x = 4,781.12

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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.