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Finding the Fourth Proportional to 8,821.66, 13,232.49 and 3,198.85

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Solution

The fourth proportional to 8,821.66, 13,232.49 and 3,198.85 is: 4,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.66 : 13,232.49 = 3,198.85 : x
  2. Step 2: Convert to fraction form
    8,821.66/13,232.49 = 3,198.85/x
  3. Step 3: Cross multiply
    8,821.66x = 13,232.49 × 3,198.85
  4. Step 4: Simplify right side
    8,821.66x = 42,328,750.64
  5. Step 5: Solve for x
    x = 42,328,750.64/8,821.66
  6. Step 6: Final answer
    x = 4,798.28

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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.