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Finding the Fourth Proportional to 3,843.15, 5,764.37 and 1,069.61

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Solution

The fourth proportional to 3,843.15, 5,764.37 and 1,069.61 is: 1,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.15 : 5,764.37 = 1,069.61 : x
  2. Step 2: Convert to fraction form
    3,843.15/5,764.37 = 1,069.61/x
  3. Step 3: Cross multiply
    3,843.15x = 5,764.37 × 1,069.61
  4. Step 4: Simplify right side
    3,843.15x = 6,165,593.63
  5. Step 5: Solve for x
    x = 6,165,593.63/3,843.15
  6. Step 6: Final answer
    x = 1,604.31

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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.