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Finding the Fourth Proportional to 3,998.64, 5,997.84 and 1,225.20

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Solution

The fourth proportional to 3,998.64, 5,997.84 and 1,225.20 is: 1,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.64 : 5,997.84 = 1,225.20 : x
  2. Step 2: Convert to fraction form
    3,998.64/5,997.84 = 1,225.20/x
  3. Step 3: Cross multiply
    3,998.64x = 5,997.84 × 1,225.20
  4. Step 4: Simplify right side
    3,998.64x = 7,348,553.57
  5. Step 5: Solve for x
    x = 7,348,553.57/3,998.64
  6. Step 6: Final answer
    x = 1,837.76

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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.