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Finding the Fourth Proportional to 3,972.32, 5,949.84 and 1,916

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Solution

The fourth proportional to 3,972.32, 5,949.84 and 1,916 is: 2,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.32 : 5,949.84 = 1,916 : x
  2. Step 2: Convert to fraction form
    3,972.32/5,949.84 = 1,916/x
  3. Step 3: Cross multiply
    3,972.32x = 5,949.84 × 1,916
  4. Step 4: Simplify right side
    3,972.32x = 11,399,893.44
  5. Step 5: Solve for x
    x = 11,399,893.44/3,972.32
  6. Step 6: Final answer
    x = 2,869.83

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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.