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Finding the Fourth Proportional to 3,998.20, 5,997.30 and 3,512.20

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Solution

The fourth proportional to 3,998.20, 5,997.30 and 3,512.20 is: 5,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.20 : 5,997.30 = 3,512.20 : x
  2. Step 2: Convert to fraction form
    3,998.20/5,997.30 = 3,512.20/x
  3. Step 3: Cross multiply
    3,998.20x = 5,997.30 × 3,512.20
  4. Step 4: Simplify right side
    3,998.20x = 21,063,717.06
  5. Step 5: Solve for x
    x = 21,063,717.06/3,998.20
  6. Step 6: Final answer
    x = 5,268.30

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Half scale
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Similar ratio
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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.