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Finding the Fourth Proportional to 3,972.54, 5,478.75 and 3,753.66

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Solution

The fourth proportional to 3,972.54, 5,478.75 and 3,753.66 is: 5,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.54 : 5,478.75 = 3,753.66 : x
  2. Step 2: Convert to fraction form
    3,972.54/5,478.75 = 3,753.66/x
  3. Step 3: Cross multiply
    3,972.54x = 5,478.75 × 3,753.66
  4. Step 4: Simplify right side
    3,972.54x = 20,565,364.73
  5. Step 5: Solve for x
    x = 20,565,364.73/3,972.54
  6. Step 6: Final answer
    x = 5,176.88

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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.