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Finding the Fourth Proportional to 2,218.70, 3,326.01 and 831.33

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Solution

The fourth proportional to 2,218.70, 3,326.01 and 831.33 is: 1,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.70 : 3,326.01 = 831.33 : x
  2. Step 2: Convert to fraction form
    2,218.70/3,326.01 = 831.33/x
  3. Step 3: Cross multiply
    2,218.70x = 3,326.01 × 831.33
  4. Step 4: Simplify right side
    2,218.70x = 2,765,011.89
  5. Step 5: Solve for x
    x = 2,765,011.89/2,218.70
  6. Step 6: Final answer
    x = 1,246.23

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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.