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Finding the Fourth Proportional to 2,391.81, 3,586.83 and 831.41

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Solution

The fourth proportional to 2,391.81, 3,586.83 and 831.41 is: 1,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.81 : 3,586.83 = 831.41 : x
  2. Step 2: Convert to fraction form
    2,391.81/3,586.83 = 831.41/x
  3. Step 3: Cross multiply
    2,391.81x = 3,586.83 × 831.41
  4. Step 4: Simplify right side
    2,391.81x = 2,982,126.33
  5. Step 5: Solve for x
    x = 2,982,126.33/2,391.81
  6. Step 6: Final answer
    x = 1,246.81

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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.