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Finding the Fourth Proportional to 13,662, 18,855.36 and 8,286.57

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Solution

The fourth proportional to 13,662, 18,855.36 and 8,286.57 is: 11,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 18,855.36 = 8,286.57 : x
  2. Step 2: Convert to fraction form
    13,662/18,855.36 = 8,286.57/x
  3. Step 3: Cross multiply
    13,662x = 18,855.36 × 8,286.57
  4. Step 4: Simplify right side
    13,662x = 156,246,260.52
  5. Step 5: Solve for x
    x = 156,246,260.52/13,662
  6. Step 6: Final answer
    x = 11,436.56

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Why These Related Problems?

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