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Finding the Fourth Proportional to 28,691.50, 43,037.26 and 7,915

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Solution

The fourth proportional to 28,691.50, 43,037.26 and 7,915 is: 11,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,691.50 : 43,037.26 = 7,915 : x
  2. Step 2: Convert to fraction form
    28,691.50/43,037.26 = 7,915/x
  3. Step 3: Cross multiply
    28,691.50x = 43,037.26 × 7,915
  4. Step 4: Simplify right side
    28,691.50x = 340,639,912.90
  5. Step 5: Solve for x
    x = 340,639,912.90/28,691.50
  6. Step 6: Final answer
    x = 11,872.50

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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.