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Finding the Fourth Proportional to 3,972.76, 5,489.02 and 3,139.86

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Solution

The fourth proportional to 3,972.76, 5,489.02 and 3,139.86 is: 4,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.76 : 5,489.02 = 3,139.86 : x
  2. Step 2: Convert to fraction form
    3,972.76/5,489.02 = 3,139.86/x
  3. Step 3: Cross multiply
    3,972.76x = 5,489.02 × 3,139.86
  4. Step 4: Simplify right side
    3,972.76x = 17,234,754.34
  5. Step 5: Solve for x
    x = 17,234,754.34/3,972.76
  6. Step 6: Final answer
    x = 4,338.23

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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.