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Finding the Fourth Proportional to 39,279, 54,205.02 and 22,512

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Solution

The fourth proportional to 39,279, 54,205.02 and 22,512 is: 31,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,279 : 54,205.02 = 22,512 : x
  2. Step 2: Convert to fraction form
    39,279/54,205.02 = 22,512/x
  3. Step 3: Cross multiply
    39,279x = 54,205.02 × 22,512
  4. Step 4: Simplify right side
    39,279x = 1,220,263,410.24
  5. Step 5: Solve for x
    x = 1,220,263,410.24/39,279
  6. Step 6: Final answer
    x = 31,066.56

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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.