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Finding the Fourth Proportional to 3,940, 5,912.84 and 1,992.32

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Solution

The fourth proportional to 3,940, 5,912.84 and 1,992.32 is: 2,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 5,912.84 = 1,992.32 : x
  2. Step 2: Convert to fraction form
    3,940/5,912.84 = 1,992.32/x
  3. Step 3: Cross multiply
    3,940x = 5,912.84 × 1,992.32
  4. Step 4: Simplify right side
    3,940x = 11,780,269.39
  5. Step 5: Solve for x
    x = 11,780,269.39/3,940
  6. Step 6: Final answer
    x = 2,989.92

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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.