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Finding the Fourth Proportional to 27,920.42, 41,882.44 and 12,338

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Solution

The fourth proportional to 27,920.42, 41,882.44 and 12,338 is: 18,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.42 : 41,882.44 = 12,338 : x
  2. Step 2: Convert to fraction form
    27,920.42/41,882.44 = 12,338/x
  3. Step 3: Cross multiply
    27,920.42x = 41,882.44 × 12,338
  4. Step 4: Simplify right side
    27,920.42x = 516,745,544.72
  5. Step 5: Solve for x
    x = 516,745,544.72/27,920.42
  6. Step 6: Final answer
    x = 18,507.80

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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.