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Finding the Fourth Proportional to 5,500.82, 7,591.02 and 3,142.64

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Solution

The fourth proportional to 5,500.82, 7,591.02 and 3,142.64 is: 4,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.82 : 7,591.02 = 3,142.64 : x
  2. Step 2: Convert to fraction form
    5,500.82/7,591.02 = 3,142.64/x
  3. Step 3: Cross multiply
    5,500.82x = 7,591.02 × 3,142.64
  4. Step 4: Simplify right side
    5,500.82x = 23,855,805.14
  5. Step 5: Solve for x
    x = 23,855,805.14/5,500.82
  6. Step 6: Final answer
    x = 4,336.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.