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Finding the Fourth Proportional to 7,868.73, 11,805.83 and 3,489.27

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Solution

The fourth proportional to 7,868.73, 11,805.83 and 3,489.27 is: 5,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.73 : 11,805.83 = 3,489.27 : x
  2. Step 2: Convert to fraction form
    7,868.73/11,805.83 = 3,489.27/x
  3. Step 3: Cross multiply
    7,868.73x = 11,805.83 × 3,489.27
  4. Step 4: Simplify right side
    7,868.73x = 41,193,728.44
  5. Step 5: Solve for x
    x = 41,193,728.44/7,868.73
  6. Step 6: Final answer
    x = 5,235.12

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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.