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Finding the Fourth Proportional to 3,997.43, 5,997.87 and 2,146.38

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Solution

The fourth proportional to 3,997.43, 5,997.87 and 2,146.38 is: 3,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.43 : 5,997.87 = 2,146.38 : x
  2. Step 2: Convert to fraction form
    3,997.43/5,997.87 = 2,146.38/x
  3. Step 3: Cross multiply
    3,997.43x = 5,997.87 × 2,146.38
  4. Step 4: Simplify right side
    3,997.43x = 12,873,708.21
  5. Step 5: Solve for x
    x = 12,873,708.21/3,997.43
  6. Step 6: Final answer
    x = 3,220.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.