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Finding the Fourth Proportional to 3,964.85, 5,945.13 and 3,794.45

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Solution

The fourth proportional to 3,964.85, 5,945.13 and 3,794.45 is: 5,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.85 : 5,945.13 = 3,794.45 : x
  2. Step 2: Convert to fraction form
    3,964.85/5,945.13 = 3,794.45/x
  3. Step 3: Cross multiply
    3,964.85x = 5,945.13 × 3,794.45
  4. Step 4: Simplify right side
    3,964.85x = 22,558,468.80
  5. Step 5: Solve for x
    x = 22,558,468.80/3,964.85
  6. Step 6: Final answer
    x = 5,689.62

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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.