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Finding the Fourth Proportional to 5,842.43, 8,062.49 and 3,189.77

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Solution

The fourth proportional to 5,842.43, 8,062.49 and 3,189.77 is: 4,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.43 : 8,062.49 = 3,189.77 : x
  2. Step 2: Convert to fraction form
    5,842.43/8,062.49 = 3,189.77/x
  3. Step 3: Cross multiply
    5,842.43x = 8,062.49 × 3,189.77
  4. Step 4: Simplify right side
    5,842.43x = 25,717,488.73
  5. Step 5: Solve for x
    x = 25,717,488.73/5,842.43
  6. Step 6: Final answer
    x = 4,401.85

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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.