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Finding the Fourth Proportional to 27,930.80, 41,863.80 and 11,282.60

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Solution

The fourth proportional to 27,930.80, 41,863.80 and 11,282.60 is: 16,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.80 : 41,863.80 = 11,282.60 : x
  2. Step 2: Convert to fraction form
    27,930.80/41,863.80 = 11,282.60/x
  3. Step 3: Cross multiply
    27,930.80x = 41,863.80 × 11,282.60
  4. Step 4: Simplify right side
    27,930.80x = 472,332,509.88
  5. Step 5: Solve for x
    x = 472,332,509.88/27,930.80
  6. Step 6: Final answer
    x = 16,910.81

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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.