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Finding the Fourth Proportional to 12,334.25, 18,516.68 and 8,200.82

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Solution

The fourth proportional to 12,334.25, 18,516.68 and 8,200.82 is: 12,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.25 : 18,516.68 = 8,200.82 : x
  2. Step 2: Convert to fraction form
    12,334.25/18,516.68 = 8,200.82/x
  3. Step 3: Cross multiply
    12,334.25x = 18,516.68 × 8,200.82
  4. Step 4: Simplify right side
    12,334.25x = 151,851,920.58
  5. Step 5: Solve for x
    x = 151,851,920.58/12,334.25
  6. Step 6: Final answer
    x = 12,311.40

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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.