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Finding the Fourth Proportional to 8,107, 11,187.66 and 4,381

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Solution

The fourth proportional to 8,107, 11,187.66 and 4,381 is: 6,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107 : 11,187.66 = 4,381 : x
  2. Step 2: Convert to fraction form
    8,107/11,187.66 = 4,381/x
  3. Step 3: Cross multiply
    8,107x = 11,187.66 × 4,381
  4. Step 4: Simplify right side
    8,107x = 49,013,138.46
  5. Step 5: Solve for x
    x = 49,013,138.46/8,107
  6. Step 6: Final answer
    x = 6,045.78

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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.