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Finding the Fourth Proportional to 8,436.44, 12,653.22 and 2,279

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Solution

The fourth proportional to 8,436.44, 12,653.22 and 2,279 is: 3,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.44 : 12,653.22 = 2,279 : x
  2. Step 2: Convert to fraction form
    8,436.44/12,653.22 = 2,279/x
  3. Step 3: Cross multiply
    8,436.44x = 12,653.22 × 2,279
  4. Step 4: Simplify right side
    8,436.44x = 28,836,688.38
  5. Step 5: Solve for x
    x = 28,836,688.38/8,436.44
  6. Step 6: Final answer
    x = 3,418.11

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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.