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Finding the Fourth Proportional to 2,291.69, 3,438.25 and 831.06

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Solution

The fourth proportional to 2,291.69, 3,438.25 and 831.06 is: 1,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.69 : 3,438.25 = 831.06 : x
  2. Step 2: Convert to fraction form
    2,291.69/3,438.25 = 831.06/x
  3. Step 3: Cross multiply
    2,291.69x = 3,438.25 × 831.06
  4. Step 4: Simplify right side
    2,291.69x = 2,857,389.97
  5. Step 5: Solve for x
    x = 2,857,389.97/2,291.69
  6. Step 6: Final answer
    x = 1,246.85

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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.