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Finding the Fourth Proportional to 3,998.14, 5,997.20 and 1,076.22

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Solution

The fourth proportional to 3,998.14, 5,997.20 and 1,076.22 is: 1,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.14 : 5,997.20 = 1,076.22 : x
  2. Step 2: Convert to fraction form
    3,998.14/5,997.20 = 1,076.22/x
  3. Step 3: Cross multiply
    3,998.14x = 5,997.20 × 1,076.22
  4. Step 4: Simplify right side
    3,998.14x = 6,454,301.20
  5. Step 5: Solve for x
    x = 6,454,301.20/3,998.14
  6. Step 6: Final answer
    x = 1,614.33

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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.