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Finding the Fourth Proportional to 8,821.11, 13,234.56 and 3,894.87

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Solution

The fourth proportional to 8,821.11, 13,234.56 and 3,894.87 is: 5,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.11 : 13,234.56 = 3,894.87 : x
  2. Step 2: Convert to fraction form
    8,821.11/13,234.56 = 3,894.87/x
  3. Step 3: Cross multiply
    8,821.11x = 13,234.56 × 3,894.87
  4. Step 4: Simplify right side
    8,821.11x = 51,546,890.71
  5. Step 5: Solve for x
    x = 51,546,890.71/8,821.11
  6. Step 6: Final answer
    x = 5,843.58

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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.