Home / 3,022.20-4,532.82-831.12

Finding the Fourth Proportional to 3,022.20, 4,532.82 and 831.12

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Solution

The fourth proportional to 3,022.20, 4,532.82 and 831.12 is: 1,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.20 : 4,532.82 = 831.12 : x
  2. Step 2: Convert to fraction form
    3,022.20/4,532.82 = 831.12/x
  3. Step 3: Cross multiply
    3,022.20x = 4,532.82 × 831.12
  4. Step 4: Simplify right side
    3,022.20x = 3,767,317.36
  5. Step 5: Solve for x
    x = 3,767,317.36/3,022.20
  6. Step 6: Final answer
    x = 1,246.55

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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.