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Finding the Fourth Proportional to 3,843.29, 5,764.94 and 1,069.97

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Solution

The fourth proportional to 3,843.29, 5,764.94 and 1,069.97 is: 1,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.29 : 5,764.94 = 1,069.97 : x
  2. Step 2: Convert to fraction form
    3,843.29/5,764.94 = 1,069.97/x
  3. Step 3: Cross multiply
    3,843.29x = 5,764.94 × 1,069.97
  4. Step 4: Simplify right side
    3,843.29x = 6,168,312.85
  5. Step 5: Solve for x
    x = 6,168,312.85/3,843.29
  6. Step 6: Final answer
    x = 1,604.96

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1.5x scale

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.