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Finding the Fourth Proportional to 8,194.62, 11,280.15 and 6,201.66

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Solution

The fourth proportional to 8,194.62, 11,280.15 and 6,201.66 is: 8,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.62 : 11,280.15 = 6,201.66 : x
  2. Step 2: Convert to fraction form
    8,194.62/11,280.15 = 6,201.66/x
  3. Step 3: Cross multiply
    8,194.62x = 11,280.15 × 6,201.66
  4. Step 4: Simplify right side
    8,194.62x = 69,955,655.05
  5. Step 5: Solve for x
    x = 69,955,655.05/8,194.62
  6. Step 6: Final answer
    x = 8,536.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.