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Finding the Fourth Proportional to 4,344, 5,991.60 and 3,991

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Solution

The fourth proportional to 4,344, 5,991.60 and 3,991 is: 5,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 5,991.60 = 3,991 : x
  2. Step 2: Convert to fraction form
    4,344/5,991.60 = 3,991/x
  3. Step 3: Cross multiply
    4,344x = 5,991.60 × 3,991
  4. Step 4: Simplify right side
    4,344x = 23,912,475.60
  5. Step 5: Solve for x
    x = 23,912,475.60/4,344
  6. Step 6: Final answer
    x = 5,504.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.