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Finding the Fourth Proportional to 3,764.70, 5,640.38 and 3,211.28

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Solution

The fourth proportional to 3,764.70, 5,640.38 and 3,211.28 is: 4,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.70 : 5,640.38 = 3,211.28 : x
  2. Step 2: Convert to fraction form
    3,764.70/5,640.38 = 3,211.28/x
  3. Step 3: Cross multiply
    3,764.70x = 5,640.38 × 3,211.28
  4. Step 4: Simplify right side
    3,764.70x = 18,112,839.49
  5. Step 5: Solve for x
    x = 18,112,839.49/3,764.70
  6. Step 6: Final answer
    x = 4,811.23

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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.