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Finding the Fourth Proportional to 7,500.68, 11,241.90 and 5,645.83

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Solution

The fourth proportional to 7,500.68, 11,241.90 and 5,645.83 is: 8,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.68 : 11,241.90 = 5,645.83 : x
  2. Step 2: Convert to fraction form
    7,500.68/11,241.90 = 5,645.83/x
  3. Step 3: Cross multiply
    7,500.68x = 11,241.90 × 5,645.83
  4. Step 4: Simplify right side
    7,500.68x = 63,469,856.28
  5. Step 5: Solve for x
    x = 63,469,856.28/7,500.68
  6. Step 6: Final answer
    x = 8,461.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.