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Finding the Fourth Proportional to 6,486.75, 9,721.92 and 4,145.85

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Solution

The fourth proportional to 6,486.75, 9,721.92 and 4,145.85 is: 6,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.75 : 9,721.92 = 4,145.85 : x
  2. Step 2: Convert to fraction form
    6,486.75/9,721.92 = 4,145.85/x
  3. Step 3: Cross multiply
    6,486.75x = 9,721.92 × 4,145.85
  4. Step 4: Simplify right side
    6,486.75x = 40,305,622.03
  5. Step 5: Solve for x
    x = 40,305,622.03/6,486.75
  6. Step 6: Final answer
    x = 6,213.53

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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.