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Finding the Fourth Proportional to 3,960.75, 5,937.26 and 3,221.88

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Solution

The fourth proportional to 3,960.75, 5,937.26 and 3,221.88 is: 4,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.75 : 5,937.26 = 3,221.88 : x
  2. Step 2: Convert to fraction form
    3,960.75/5,937.26 = 3,221.88/x
  3. Step 3: Cross multiply
    3,960.75x = 5,937.26 × 3,221.88
  4. Step 4: Simplify right side
    3,960.75x = 19,129,123.14
  5. Step 5: Solve for x
    x = 19,129,123.14/3,960.75
  6. Step 6: Final answer
    x = 4,829.67

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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.