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Finding the Fourth Proportional to 2,472.11, 3,708.17 and 828.78

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Solution

The fourth proportional to 2,472.11, 3,708.17 and 828.78 is: 1,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.11 : 3,708.17 = 828.78 : x
  2. Step 2: Convert to fraction form
    2,472.11/3,708.17 = 828.78/x
  3. Step 3: Cross multiply
    2,472.11x = 3,708.17 × 828.78
  4. Step 4: Simplify right side
    2,472.11x = 3,073,259.20
  5. Step 5: Solve for x
    x = 3,073,259.20/2,472.11
  6. Step 6: Final answer
    x = 1,243.18

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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.