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Finding the Fourth Proportional to 8,571.09, 12,861.09 and 3,894.42

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Solution

The fourth proportional to 8,571.09, 12,861.09 and 3,894.42 is: 5,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.09 : 12,861.09 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    8,571.09/12,861.09 = 3,894.42/x
  3. Step 3: Cross multiply
    8,571.09x = 12,861.09 × 3,894.42
  4. Step 4: Simplify right side
    8,571.09x = 50,086,486.12
  5. Step 5: Solve for x
    x = 50,086,486.12/8,571.09
  6. Step 6: Final answer
    x = 5,843.65

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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.