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Finding the Fourth Proportional to 2,737.88, 3,778.08 and 2,149.82

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Solution

The fourth proportional to 2,737.88, 3,778.08 and 2,149.82 is: 2,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.88 : 3,778.08 = 2,149.82 : x
  2. Step 2: Convert to fraction form
    2,737.88/3,778.08 = 2,149.82/x
  3. Step 3: Cross multiply
    2,737.88x = 3,778.08 × 2,149.82
  4. Step 4: Simplify right side
    2,737.88x = 8,122,191.95
  5. Step 5: Solve for x
    x = 8,122,191.95/2,737.88
  6. Step 6: Final answer
    x = 2,966.60

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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.