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Finding the Fourth Proportional to 3,999.42, 5,997.78 and 1,402.02

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Solution

The fourth proportional to 3,999.42, 5,997.78 and 1,402.02 is: 2,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.42 : 5,997.78 = 1,402.02 : x
  2. Step 2: Convert to fraction form
    3,999.42/5,997.78 = 1,402.02/x
  3. Step 3: Cross multiply
    3,999.42x = 5,997.78 × 1,402.02
  4. Step 4: Simplify right side
    3,999.42x = 8,409,007.52
  5. Step 5: Solve for x
    x = 8,409,007.52/3,999.42
  6. Step 6: Final answer
    x = 2,102.56

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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.