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Finding the Fourth Proportional to 11,811.58, 16,286.46 and 8,822.38

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Solution

The fourth proportional to 11,811.58, 16,286.46 and 8,822.38 is: 12,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.58 : 16,286.46 = 8,822.38 : x
  2. Step 2: Convert to fraction form
    11,811.58/16,286.46 = 8,822.38/x
  3. Step 3: Cross multiply
    11,811.58x = 16,286.46 × 8,822.38
  4. Step 4: Simplify right side
    11,811.58x = 143,685,338.97
  5. Step 5: Solve for x
    x = 143,685,338.97/11,811.58
  6. Step 6: Final answer
    x = 12,164.79

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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.