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Finding the Fourth Proportional to 8,236.89, 12,366 and 7,074.41

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Solution

The fourth proportional to 8,236.89, 12,366 and 7,074.41 is: 10,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.89 : 12,366 = 7,074.41 : x
  2. Step 2: Convert to fraction form
    8,236.89/12,366 = 7,074.41/x
  3. Step 3: Cross multiply
    8,236.89x = 12,366 × 7,074.41
  4. Step 4: Simplify right side
    8,236.89x = 87,482,092.23
  5. Step 5: Solve for x
    x = 87,482,092.23/8,236.89
  6. Step 6: Final answer
    x = 10,620.77

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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.