Home / 2,286.88-3,428.27-825.69

Finding the Fourth Proportional to 2,286.88, 3,428.27 and 825.69

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Solution

The fourth proportional to 2,286.88, 3,428.27 and 825.69 is: 1,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.88 : 3,428.27 = 825.69 : x
  2. Step 2: Convert to fraction form
    2,286.88/3,428.27 = 825.69/x
  3. Step 3: Cross multiply
    2,286.88x = 3,428.27 × 825.69
  4. Step 4: Simplify right side
    2,286.88x = 2,830,688.26
  5. Step 5: Solve for x
    x = 2,830,688.26/2,286.88
  6. Step 6: Final answer
    x = 1,237.79

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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.