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Finding the Fourth Proportional to 11,920.29, 17,868.80 and 5,678.61

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Solution

The fourth proportional to 11,920.29, 17,868.80 and 5,678.61 is: 8,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.29 : 17,868.80 = 5,678.61 : x
  2. Step 2: Convert to fraction form
    11,920.29/17,868.80 = 5,678.61/x
  3. Step 3: Cross multiply
    11,920.29x = 17,868.80 × 5,678.61
  4. Step 4: Simplify right side
    11,920.29x = 101,469,917.97
  5. Step 5: Solve for x
    x = 101,469,917.97/11,920.29
  6. Step 6: Final answer
    x = 8,512.37

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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.