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Finding the Fourth Proportional to 8,194.01, 12,296.03 and 3,262.95

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Solution

The fourth proportional to 8,194.01, 12,296.03 and 3,262.95 is: 4,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.01 : 12,296.03 = 3,262.95 : x
  2. Step 2: Convert to fraction form
    8,194.01/12,296.03 = 3,262.95/x
  3. Step 3: Cross multiply
    8,194.01x = 12,296.03 × 3,262.95
  4. Step 4: Simplify right side
    8,194.01x = 40,121,314.77
  5. Step 5: Solve for x
    x = 40,121,314.77/8,194.01
  6. Step 6: Final answer
    x = 4,896.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.