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Finding the Fourth Proportional to 11,900.61, 17,859.92 and 8,109.81

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Solution

The fourth proportional to 11,900.61, 17,859.92 and 8,109.81 is: 12,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.61 : 17,859.92 = 8,109.81 : x
  2. Step 2: Convert to fraction form
    11,900.61/17,859.92 = 8,109.81/x
  3. Step 3: Cross multiply
    11,900.61x = 17,859.92 × 8,109.81
  4. Step 4: Simplify right side
    11,900.61x = 144,840,517.27
  5. Step 5: Solve for x
    x = 144,840,517.27/11,900.61
  6. Step 6: Final answer
    x = 12,170.85

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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.