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Finding the Fourth Proportional to 3,997.72, 5,994.62 and 1,400.28

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Solution

The fourth proportional to 3,997.72, 5,994.62 and 1,400.28 is: 2,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.72 : 5,994.62 = 1,400.28 : x
  2. Step 2: Convert to fraction form
    3,997.72/5,994.62 = 1,400.28/x
  3. Step 3: Cross multiply
    3,997.72x = 5,994.62 × 1,400.28
  4. Step 4: Simplify right side
    3,997.72x = 8,394,146.49
  5. Step 5: Solve for x
    x = 8,394,146.49/3,997.72
  6. Step 6: Final answer
    x = 2,099.73

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