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Finding the Fourth Proportional to 8,111, 12,167.28 and 3,729.68

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Solution

The fourth proportional to 8,111, 12,167.28 and 3,729.68 is: 5,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111 : 12,167.28 = 3,729.68 : x
  2. Step 2: Convert to fraction form
    8,111/12,167.28 = 3,729.68/x
  3. Step 3: Cross multiply
    8,111x = 12,167.28 × 3,729.68
  4. Step 4: Simplify right side
    8,111x = 45,380,060.87
  5. Step 5: Solve for x
    x = 45,380,060.87/8,111
  6. Step 6: Final answer
    x = 5,594.88

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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.