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Finding the Fourth Proportional to 2,169.94, 3,255.72 and 936.85

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Solution

The fourth proportional to 2,169.94, 3,255.72 and 936.85 is: 1,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.94 : 3,255.72 = 936.85 : x
  2. Step 2: Convert to fraction form
    2,169.94/3,255.72 = 936.85/x
  3. Step 3: Cross multiply
    2,169.94x = 3,255.72 × 936.85
  4. Step 4: Simplify right side
    2,169.94x = 3,050,121.28
  5. Step 5: Solve for x
    x = 3,050,121.28/2,169.94
  6. Step 6: Final answer
    x = 1,405.62

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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.