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Finding the Fourth Proportional to 3,591.64, 5,393.64 and 2,139.92

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Solution

The fourth proportional to 3,591.64, 5,393.64 and 2,139.92 is: 3,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.64 : 5,393.64 = 2,139.92 : x
  2. Step 2: Convert to fraction form
    3,591.64/5,393.64 = 2,139.92/x
  3. Step 3: Cross multiply
    3,591.64x = 5,393.64 × 2,139.92
  4. Step 4: Simplify right side
    3,591.64x = 11,541,958.11
  5. Step 5: Solve for x
    x = 11,541,958.11/3,591.64
  6. Step 6: Final answer
    x = 3,213.56

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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.