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Finding the Fourth Proportional to 20,264.28, 30,393 and 5,469.78

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Solution

The fourth proportional to 20,264.28, 30,393 and 5,469.78 is: 8,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.28 : 30,393 = 5,469.78 : x
  2. Step 2: Convert to fraction form
    20,264.28/30,393 = 5,469.78/x
  3. Step 3: Cross multiply
    20,264.28x = 30,393 × 5,469.78
  4. Step 4: Simplify right side
    20,264.28x = 166,243,023.54
  5. Step 5: Solve for x
    x = 166,243,023.54/20,264.28
  6. Step 6: Final answer
    x = 8,203.75

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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.