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Finding the Fourth Proportional to 8,381.88, 12,578.11 and 4,686.53

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Solution

The fourth proportional to 8,381.88, 12,578.11 and 4,686.53 is: 7,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.88 : 12,578.11 = 4,686.53 : x
  2. Step 2: Convert to fraction form
    8,381.88/12,578.11 = 4,686.53/x
  3. Step 3: Cross multiply
    8,381.88x = 12,578.11 × 4,686.53
  4. Step 4: Simplify right side
    8,381.88x = 58,947,689.86
  5. Step 5: Solve for x
    x = 58,947,689.86/8,381.88
  6. Step 6: Final answer
    x = 7,032.75

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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.