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Finding the Fourth Proportional to 2,291.76, 3,439.31 and 831.03

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Solution

The fourth proportional to 2,291.76, 3,439.31 and 831.03 is: 1,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.76 : 3,439.31 = 831.03 : x
  2. Step 2: Convert to fraction form
    2,291.76/3,439.31 = 831.03/x
  3. Step 3: Cross multiply
    2,291.76x = 3,439.31 × 831.03
  4. Step 4: Simplify right side
    2,291.76x = 2,858,169.79
  5. Step 5: Solve for x
    x = 2,858,169.79/2,291.76
  6. Step 6: Final answer
    x = 1,247.15

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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.