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Finding the Fourth Proportional to 8,474.69, 12,723.24 and 6,809.87

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Solution

The fourth proportional to 8,474.69, 12,723.24 and 6,809.87 is: 10,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.69 : 12,723.24 = 6,809.87 : x
  2. Step 2: Convert to fraction form
    8,474.69/12,723.24 = 6,809.87/x
  3. Step 3: Cross multiply
    8,474.69x = 12,723.24 × 6,809.87
  4. Step 4: Simplify right side
    8,474.69x = 86,643,610.38
  5. Step 5: Solve for x
    x = 86,643,610.38/8,474.69
  6. Step 6: Final answer
    x = 10,223.81

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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.