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Finding the Fourth Proportional to 6,443.75, 9,664.11 and 3,633.79

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Solution

The fourth proportional to 6,443.75, 9,664.11 and 3,633.79 is: 5,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.75 : 9,664.11 = 3,633.79 : x
  2. Step 2: Convert to fraction form
    6,443.75/9,664.11 = 3,633.79/x
  3. Step 3: Cross multiply
    6,443.75x = 9,664.11 × 3,633.79
  4. Step 4: Simplify right side
    6,443.75x = 35,117,344.73
  5. Step 5: Solve for x
    x = 35,117,344.73/6,443.75
  6. Step 6: Final answer
    x = 5,449.83

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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.