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Finding the Fourth Proportional to 2,512.50, 3,769.37 and 781.13

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Solution

The fourth proportional to 2,512.50, 3,769.37 and 781.13 is: 1,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.50 : 3,769.37 = 781.13 : x
  2. Step 2: Convert to fraction form
    2,512.50/3,769.37 = 781.13/x
  3. Step 3: Cross multiply
    2,512.50x = 3,769.37 × 781.13
  4. Step 4: Simplify right side
    2,512.50x = 2,944,345.24
  5. Step 5: Solve for x
    x = 2,944,345.24/2,512.50
  6. Step 6: Final answer
    x = 1,171.88

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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.