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Finding the Fourth Proportional to 3,874.92, 5,340.24 and 3,245.55

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Solution

The fourth proportional to 3,874.92, 5,340.24 and 3,245.55 is: 4,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,340.24 = 3,245.55 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,340.24 = 3,245.55/x
  3. Step 3: Cross multiply
    3,874.92x = 5,340.24 × 3,245.55
  4. Step 4: Simplify right side
    3,874.92x = 17,332,015.93
  5. Step 5: Solve for x
    x = 17,332,015.93/3,874.92
  6. Step 6: Final answer
    x = 4,472.87

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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.