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Finding the Fourth Proportional to 6,751.72, 9,318.82 and 3,957.80

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Solution

The fourth proportional to 6,751.72, 9,318.82 and 3,957.80 is: 5,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.72 : 9,318.82 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    6,751.72/9,318.82 = 3,957.80/x
  3. Step 3: Cross multiply
    6,751.72x = 9,318.82 × 3,957.80
  4. Step 4: Simplify right side
    6,751.72x = 36,882,025.80
  5. Step 5: Solve for x
    x = 36,882,025.80/6,751.72
  6. Step 6: Final answer
    x = 5,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.