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Finding the Fourth Proportional to 3,997.84, 5,998.49 and 2,146.79

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Solution

The fourth proportional to 3,997.84, 5,998.49 and 2,146.79 is: 3,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.84 : 5,998.49 = 2,146.79 : x
  2. Step 2: Convert to fraction form
    3,997.84/5,998.49 = 2,146.79/x
  3. Step 3: Cross multiply
    3,997.84x = 5,998.49 × 2,146.79
  4. Step 4: Simplify right side
    3,997.84x = 12,877,487.61
  5. Step 5: Solve for x
    x = 12,877,487.61/3,997.84
  6. Step 6: Final answer
    x = 3,221.12

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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.