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Finding the Fourth Proportional to 3,542.87, 5,314.58 and 1,077.87

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Solution

The fourth proportional to 3,542.87, 5,314.58 and 1,077.87 is: 1,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.87 : 5,314.58 = 1,077.87 : x
  2. Step 2: Convert to fraction form
    3,542.87/5,314.58 = 1,077.87/x
  3. Step 3: Cross multiply
    3,542.87x = 5,314.58 × 1,077.87
  4. Step 4: Simplify right side
    3,542.87x = 5,728,444.93
  5. Step 5: Solve for x
    x = 5,728,444.93/3,542.87
  6. Step 6: Final answer
    x = 1,616.89

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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.