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Finding the Fourth Proportional to 3,993.53, 5,991.17 and 1,220.41

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Solution

The fourth proportional to 3,993.53, 5,991.17 and 1,220.41 is: 1,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.53 : 5,991.17 = 1,220.41 : x
  2. Step 2: Convert to fraction form
    3,993.53/5,991.17 = 1,220.41/x
  3. Step 3: Cross multiply
    3,993.53x = 5,991.17 × 1,220.41
  4. Step 4: Simplify right side
    3,993.53x = 7,311,685.17
  5. Step 5: Solve for x
    x = 7,311,685.17/3,993.53
  6. Step 6: Final answer
    x = 1,830.89

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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.