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Finding the Fourth Proportional to 3,940.92, 5,911.38 and 1,343.88

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Solution

The fourth proportional to 3,940.92, 5,911.38 and 1,343.88 is: 2,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.92 : 5,911.38 = 1,343.88 : x
  2. Step 2: Convert to fraction form
    3,940.92/5,911.38 = 1,343.88/x
  3. Step 3: Cross multiply
    3,940.92x = 5,911.38 × 1,343.88
  4. Step 4: Simplify right side
    3,940.92x = 7,944,185.35
  5. Step 5: Solve for x
    x = 7,944,185.35/3,940.92
  6. Step 6: Final answer
    x = 2,015.82

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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.