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Finding the Fourth Proportional to 2,680.70, 4,021.04 and 831.92

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Solution

The fourth proportional to 2,680.70, 4,021.04 and 831.92 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.70 : 4,021.04 = 831.92 : x
  2. Step 2: Convert to fraction form
    2,680.70/4,021.04 = 831.92/x
  3. Step 3: Cross multiply
    2,680.70x = 4,021.04 × 831.92
  4. Step 4: Simplify right side
    2,680.70x = 3,345,159.33
  5. Step 5: Solve for x
    x = 3,345,159.33/2,680.70
  6. Step 6: Final answer
    x = 1,247.87

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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.