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Finding the Fourth Proportional to 18,661.82, 27,976.70 and 8,123.82

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Solution

The fourth proportional to 18,661.82, 27,976.70 and 8,123.82 is: 12,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.82 : 27,976.70 = 8,123.82 : x
  2. Step 2: Convert to fraction form
    18,661.82/27,976.70 = 8,123.82/x
  3. Step 3: Cross multiply
    18,661.82x = 27,976.70 × 8,123.82
  4. Step 4: Simplify right side
    18,661.82x = 227,277,674.99
  5. Step 5: Solve for x
    x = 227,277,674.99/18,661.82
  6. Step 6: Final answer
    x = 12,178.75

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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.