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Finding the Fourth Proportional to 11,691.60, 17,531.60 and 4,295.76

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Solution

The fourth proportional to 11,691.60, 17,531.60 and 4,295.76 is: 6,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.60 : 17,531.60 = 4,295.76 : x
  2. Step 2: Convert to fraction form
    11,691.60/17,531.60 = 4,295.76/x
  3. Step 3: Cross multiply
    11,691.60x = 17,531.60 × 4,295.76
  4. Step 4: Simplify right side
    11,691.60x = 75,311,546.02
  5. Step 5: Solve for x
    x = 75,311,546.02/11,691.60
  6. Step 6: Final answer
    x = 6,441.51

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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.