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Finding the Fourth Proportional to 1,940.62, 2,912.13 and 1,247.73

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Solution

The fourth proportional to 1,940.62, 2,912.13 and 1,247.73 is: 1,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.62 : 2,912.13 = 1,247.73 : x
  2. Step 2: Convert to fraction form
    1,940.62/2,912.13 = 1,247.73/x
  3. Step 3: Cross multiply
    1,940.62x = 2,912.13 × 1,247.73
  4. Step 4: Simplify right side
    1,940.62x = 3,633,545.73
  5. Step 5: Solve for x
    x = 3,633,545.73/1,940.62
  6. Step 6: Final answer
    x = 1,872.36

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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.