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Finding the Fourth Proportional to 8,198.64, 12,303.09 and 3,755.61

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Solution

The fourth proportional to 8,198.64, 12,303.09 and 3,755.61 is: 5,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.64 : 12,303.09 = 3,755.61 : x
  2. Step 2: Convert to fraction form
    8,198.64/12,303.09 = 3,755.61/x
  3. Step 3: Cross multiply
    8,198.64x = 12,303.09 × 3,755.61
  4. Step 4: Simplify right side
    8,198.64x = 46,205,607.83
  5. Step 5: Solve for x
    x = 46,205,607.83/8,198.64
  6. Step 6: Final answer
    x = 5,635.76

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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.