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Finding the Fourth Proportional to 3,591.59, 5,385.56 and 1,642.13

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Solution

The fourth proportional to 3,591.59, 5,385.56 and 1,642.13 is: 2,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.59 : 5,385.56 = 1,642.13 : x
  2. Step 2: Convert to fraction form
    3,591.59/5,385.56 = 1,642.13/x
  3. Step 3: Cross multiply
    3,591.59x = 5,385.56 × 1,642.13
  4. Step 4: Simplify right side
    3,591.59x = 8,843,766.82
  5. Step 5: Solve for x
    x = 8,843,766.82/3,591.59
  6. Step 6: Final answer
    x = 2,462.35

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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.