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Finding the Fourth Proportional to 3,998, 5,997.96 and 1,262

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Solution

The fourth proportional to 3,998, 5,997.96 and 1,262 is: 1,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998 : 5,997.96 = 1,262 : x
  2. Step 2: Convert to fraction form
    3,998/5,997.96 = 1,262/x
  3. Step 3: Cross multiply
    3,998x = 5,997.96 × 1,262
  4. Step 4: Simplify right side
    3,998x = 7,569,425.52
  5. Step 5: Solve for x
    x = 7,569,425.52/3,998
  6. Step 6: Final answer
    x = 1,893.30

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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.