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Finding the Fourth Proportional to 5,456.70, 7,524.90 and 3,974.40

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Solution

The fourth proportional to 5,456.70, 7,524.90 and 3,974.40 is: 5,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.70 : 7,524.90 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    5,456.70/7,524.90 = 3,974.40/x
  3. Step 3: Cross multiply
    5,456.70x = 7,524.90 × 3,974.40
  4. Step 4: Simplify right side
    5,456.70x = 29,906,962.56
  5. Step 5: Solve for x
    x = 29,906,962.56/5,456.70
  6. Step 6: Final answer
    x = 5,480.78

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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.