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Finding the Fourth Proportional to 39,384, 54,353.16 and 22,620.24

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Solution

The fourth proportional to 39,384, 54,353.16 and 22,620.24 is: 31,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384 : 54,353.16 = 22,620.24 : x
  2. Step 2: Convert to fraction form
    39,384/54,353.16 = 22,620.24/x
  3. Step 3: Cross multiply
    39,384x = 54,353.16 × 22,620.24
  4. Step 4: Simplify right side
    39,384x = 1,229,481,523.96
  5. Step 5: Solve for x
    x = 1,229,481,523.96/39,384
  6. Step 6: Final answer
    x = 31,217.79

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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.