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Finding the Fourth Proportional to 34,750, 51,993.78 and 21,540.52

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Solution

The fourth proportional to 34,750, 51,993.78 and 21,540.52 is: 32,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750 : 51,993.78 = 21,540.52 : x
  2. Step 2: Convert to fraction form
    34,750/51,993.78 = 21,540.52/x
  3. Step 3: Cross multiply
    34,750x = 51,993.78 × 21,540.52
  4. Step 4: Simplify right side
    34,750x = 1,119,973,057.97
  5. Step 5: Solve for x
    x = 1,119,973,057.97/34,750
  6. Step 6: Final answer
    x = 32,229.44

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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.