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Finding the Fourth Proportional to 3,339.52, 5,002 and 1,877.92

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Solution

The fourth proportional to 3,339.52, 5,002 and 1,877.92 is: 2,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.52 : 5,002 = 1,877.92 : x
  2. Step 2: Convert to fraction form
    3,339.52/5,002 = 1,877.92/x
  3. Step 3: Cross multiply
    3,339.52x = 5,002 × 1,877.92
  4. Step 4: Simplify right side
    3,339.52x = 9,393,355.84
  5. Step 5: Solve for x
    x = 9,393,355.84/3,339.52
  6. Step 6: Final answer
    x = 2,812.79

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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.