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Finding the Fourth Proportional to 2,737.12, 3,778.08 and 1,949.92

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Solution

The fourth proportional to 2,737.12, 3,778.08 and 1,949.92 is: 2,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.12 : 3,778.08 = 1,949.92 : x
  2. Step 2: Convert to fraction form
    2,737.12/3,778.08 = 1,949.92/x
  3. Step 3: Cross multiply
    2,737.12x = 3,778.08 × 1,949.92
  4. Step 4: Simplify right side
    2,737.12x = 7,366,953.75
  5. Step 5: Solve for x
    x = 7,366,953.75/2,737.12
  6. Step 6: Final answer
    x = 2,691.50

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1.5x scale

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.