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Finding the Fourth Proportional to 7,231.75, 9,979.83 and 4,087.87

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Solution

The fourth proportional to 7,231.75, 9,979.83 and 4,087.87 is: 5,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.75 : 9,979.83 = 4,087.87 : x
  2. Step 2: Convert to fraction form
    7,231.75/9,979.83 = 4,087.87/x
  3. Step 3: Cross multiply
    7,231.75x = 9,979.83 × 4,087.87
  4. Step 4: Simplify right side
    7,231.75x = 40,796,247.66
  5. Step 5: Solve for x
    x = 40,796,247.66/7,231.75
  6. Step 6: Final answer
    x = 5,641.27

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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.