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Finding the Fourth Proportional to 8,821.62, 13,234.14 and 2,978.64

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Solution

The fourth proportional to 8,821.62, 13,234.14 and 2,978.64 is: 4,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.62 : 13,234.14 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    8,821.62/13,234.14 = 2,978.64/x
  3. Step 3: Cross multiply
    8,821.62x = 13,234.14 × 2,978.64
  4. Step 4: Simplify right side
    8,821.62x = 39,419,738.77
  5. Step 5: Solve for x
    x = 39,419,738.77/8,821.62
  6. Step 6: Final answer
    x = 4,468.54

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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.