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Finding the Fourth Proportional to 2,512.08, 3,767.88 and 868.56

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Solution

The fourth proportional to 2,512.08, 3,767.88 and 868.56 is: 1,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.08 : 3,767.88 = 868.56 : x
  2. Step 2: Convert to fraction form
    2,512.08/3,767.88 = 868.56/x
  3. Step 3: Cross multiply
    2,512.08x = 3,767.88 × 868.56
  4. Step 4: Simplify right side
    2,512.08x = 3,272,629.85
  5. Step 5: Solve for x
    x = 3,272,629.85/2,512.08
  6. Step 6: Final answer
    x = 1,302.76

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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.