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Finding the Fourth Proportional to 2,001.71, 3,003.68 and 831.47

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Solution

The fourth proportional to 2,001.71, 3,003.68 and 831.47 is: 1,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.71 : 3,003.68 = 831.47 : x
  2. Step 2: Convert to fraction form
    2,001.71/3,003.68 = 831.47/x
  3. Step 3: Cross multiply
    2,001.71x = 3,003.68 × 831.47
  4. Step 4: Simplify right side
    2,001.71x = 2,497,456.87
  5. Step 5: Solve for x
    x = 2,497,456.87/2,001.71
  6. Step 6: Final answer
    x = 1,247.66

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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.