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Finding the Fourth Proportional to 3,991.78, 5,982.40 and 2,236.74

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Solution

The fourth proportional to 3,991.78, 5,982.40 and 2,236.74 is: 3,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.78 : 5,982.40 = 2,236.74 : x
  2. Step 2: Convert to fraction form
    3,991.78/5,982.40 = 2,236.74/x
  3. Step 3: Cross multiply
    3,991.78x = 5,982.40 × 2,236.74
  4. Step 4: Simplify right side
    3,991.78x = 13,381,073.38
  5. Step 5: Solve for x
    x = 13,381,073.38/3,991.78
  6. Step 6: Final answer
    x = 3,352.16

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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.