Home / 2,286.41-3,429.61-825.23

Finding the Fourth Proportional to 2,286.41, 3,429.61 and 825.23

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Solution

The fourth proportional to 2,286.41, 3,429.61 and 825.23 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.41 : 3,429.61 = 825.23 : x
  2. Step 2: Convert to fraction form
    2,286.41/3,429.61 = 825.23/x
  3. Step 3: Cross multiply
    2,286.41x = 3,429.61 × 825.23
  4. Step 4: Simplify right side
    2,286.41x = 2,830,223.57
  5. Step 5: Solve for x
    x = 2,830,223.57/2,286.41
  6. Step 6: Final answer
    x = 1,237.85

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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.