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Finding the Fourth Proportional to 3,869.52, 5,339.16 and 2,377.68

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Solution

The fourth proportional to 3,869.52, 5,339.16 and 2,377.68 is: 3,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.52 : 5,339.16 = 2,377.68 : x
  2. Step 2: Convert to fraction form
    3,869.52/5,339.16 = 2,377.68/x
  3. Step 3: Cross multiply
    3,869.52x = 5,339.16 × 2,377.68
  4. Step 4: Simplify right side
    3,869.52x = 12,694,813.95
  5. Step 5: Solve for x
    x = 12,694,813.95/3,869.52
  6. Step 6: Final answer
    x = 3,280.72

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Why These Related Problems?

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