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Finding the Fourth Proportional to 27,418.70, 41,128.05 and 20,857.70

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Solution

The fourth proportional to 27,418.70, 41,128.05 and 20,857.70 is: 31,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.70 : 41,128.05 = 20,857.70 : x
  2. Step 2: Convert to fraction form
    27,418.70/41,128.05 = 20,857.70/x
  3. Step 3: Cross multiply
    27,418.70x = 41,128.05 × 20,857.70
  4. Step 4: Simplify right side
    27,418.70x = 857,836,528.49
  5. Step 5: Solve for x
    x = 857,836,528.49/27,418.70
  6. Step 6: Final answer
    x = 31,286.55

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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.