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Finding the Fourth Proportional to 3,940.31, 5,914.11 and 1,993.88

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Solution

The fourth proportional to 3,940.31, 5,914.11 and 1,993.88 is: 2,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.31 : 5,914.11 = 1,993.88 : x
  2. Step 2: Convert to fraction form
    3,940.31/5,914.11 = 1,993.88/x
  3. Step 3: Cross multiply
    3,940.31x = 5,914.11 × 1,993.88
  4. Step 4: Simplify right side
    3,940.31x = 11,792,025.65
  5. Step 5: Solve for x
    x = 11,792,025.65/3,940.31
  6. Step 6: Final answer
    x = 2,992.66

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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.