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Finding the Fourth Proportional to 3,993.61, 5,991.13 and 1,360.97

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Solution

The fourth proportional to 3,993.61, 5,991.13 and 1,360.97 is: 2,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.61 : 5,991.13 = 1,360.97 : x
  2. Step 2: Convert to fraction form
    3,993.61/5,991.13 = 1,360.97/x
  3. Step 3: Cross multiply
    3,993.61x = 5,991.13 × 1,360.97
  4. Step 4: Simplify right side
    3,993.61x = 8,153,755.69
  5. Step 5: Solve for x
    x = 8,153,755.69/3,993.61
  6. Step 6: Final answer
    x = 2,041.70

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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.