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Finding the Fourth Proportional to 3,789.92, 5,685.03 and 1,940.54

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Solution

The fourth proportional to 3,789.92, 5,685.03 and 1,940.54 is: 2,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.92 : 5,685.03 = 1,940.54 : x
  2. Step 2: Convert to fraction form
    3,789.92/5,685.03 = 1,940.54/x
  3. Step 3: Cross multiply
    3,789.92x = 5,685.03 × 1,940.54
  4. Step 4: Simplify right side
    3,789.92x = 11,031,999.69
  5. Step 5: Solve for x
    x = 11,031,999.69/3,789.92
  6. Step 6: Final answer
    x = 2,910.88

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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.