Home / 2,286.38-3,428.97-825.26

Finding the Fourth Proportional to 2,286.38, 3,428.97 and 825.26

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Solution

The fourth proportional to 2,286.38, 3,428.97 and 825.26 is: 1,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.38 : 3,428.97 = 825.26 : x
  2. Step 2: Convert to fraction form
    2,286.38/3,428.97 = 825.26/x
  3. Step 3: Cross multiply
    2,286.38x = 3,428.97 × 825.26
  4. Step 4: Simplify right side
    2,286.38x = 2,829,791.78
  5. Step 5: Solve for x
    x = 2,829,791.78/2,286.38
  6. Step 6: Final answer
    x = 1,237.67

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1.5x scale

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.