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Finding the Fourth Proportional to 19,608.78, 29,418.12 and 5,757.78

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Solution

The fourth proportional to 19,608.78, 29,418.12 and 5,757.78 is: 8,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.78 : 29,418.12 = 5,757.78 : x
  2. Step 2: Convert to fraction form
    19,608.78/29,418.12 = 5,757.78/x
  3. Step 3: Cross multiply
    19,608.78x = 29,418.12 × 5,757.78
  4. Step 4: Simplify right side
    19,608.78x = 169,383,062.97
  5. Step 5: Solve for x
    x = 169,383,062.97/19,608.78
  6. Step 6: Final answer
    x = 8,638.12

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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.