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Finding the Fourth Proportional to 2,805.90, 4,208.07 and 831.96

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Solution

The fourth proportional to 2,805.90, 4,208.07 and 831.96 is: 1,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.90 : 4,208.07 = 831.96 : x
  2. Step 2: Convert to fraction form
    2,805.90/4,208.07 = 831.96/x
  3. Step 3: Cross multiply
    2,805.90x = 4,208.07 × 831.96
  4. Step 4: Simplify right side
    2,805.90x = 3,500,945.92
  5. Step 5: Solve for x
    x = 3,500,945.92/2,805.90
  6. Step 6: Final answer
    x = 1,247.71

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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.