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Finding the Fourth Proportional to 11,359.73, 15,672.20 and 6,881.85

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Solution

The fourth proportional to 11,359.73, 15,672.20 and 6,881.85 is: 9,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.73 : 15,672.20 = 6,881.85 : x
  2. Step 2: Convert to fraction form
    11,359.73/15,672.20 = 6,881.85/x
  3. Step 3: Cross multiply
    11,359.73x = 15,672.20 × 6,881.85
  4. Step 4: Simplify right side
    11,359.73x = 107,853,729.57
  5. Step 5: Solve for x
    x = 107,853,729.57/11,359.73
  6. Step 6: Final answer
    x = 9,494.39

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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.