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Finding the Fourth Proportional to 2,169.75, 3,255.03 and 1,015.50

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Solution

The fourth proportional to 2,169.75, 3,255.03 and 1,015.50 is: 1,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.75 : 3,255.03 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    2,169.75/3,255.03 = 1,015.50/x
  3. Step 3: Cross multiply
    2,169.75x = 3,255.03 × 1,015.50
  4. Step 4: Simplify right side
    2,169.75x = 3,305,482.97
  5. Step 5: Solve for x
    x = 3,305,482.97/2,169.75
  6. Step 6: Final answer
    x = 1,523.44

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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.