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Finding the Fourth Proportional to 2,515.72, 3,773.84 and 872.26

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Solution

The fourth proportional to 2,515.72, 3,773.84 and 872.26 is: 1,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.72 : 3,773.84 = 872.26 : x
  2. Step 2: Convert to fraction form
    2,515.72/3,773.84 = 872.26/x
  3. Step 3: Cross multiply
    2,515.72x = 3,773.84 × 872.26
  4. Step 4: Simplify right side
    2,515.72x = 3,291,769.68
  5. Step 5: Solve for x
    x = 3,291,769.68/2,515.72
  6. Step 6: Final answer
    x = 1,308.48

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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.