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Finding the Fourth Proportional to 39,819.70, 54,951.22 and 21,916

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Solution

The fourth proportional to 39,819.70, 54,951.22 and 21,916 is: 30,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819.70 : 54,951.22 = 21,916 : x
  2. Step 2: Convert to fraction form
    39,819.70/54,951.22 = 21,916/x
  3. Step 3: Cross multiply
    39,819.70x = 54,951.22 × 21,916
  4. Step 4: Simplify right side
    39,819.70x = 1,204,310,937.52
  5. Step 5: Solve for x
    x = 1,204,310,937.52/39,819.70
  6. Step 6: Final answer
    x = 30,244.10

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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.