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Finding the Fourth Proportional to 39,850.78, 54,993 and 22,857.88

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Solution

The fourth proportional to 39,850.78, 54,993 and 22,857.88 is: 31,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,850.78 : 54,993 = 22,857.88 : x
  2. Step 2: Convert to fraction form
    39,850.78/54,993 = 22,857.88/x
  3. Step 3: Cross multiply
    39,850.78x = 54,993 × 22,857.88
  4. Step 4: Simplify right side
    39,850.78x = 1,257,023,394.84
  5. Step 5: Solve for x
    x = 1,257,023,394.84/39,850.78
  6. Step 6: Final answer
    x = 31,543.26

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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.