Home / 2,286.15-3,429.22-825.28

Finding the Fourth Proportional to 2,286.15, 3,429.22 and 825.28

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Solution

The fourth proportional to 2,286.15, 3,429.22 and 825.28 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.15 : 3,429.22 = 825.28 : x
  2. Step 2: Convert to fraction form
    2,286.15/3,429.22 = 825.28/x
  3. Step 3: Cross multiply
    2,286.15x = 3,429.22 × 825.28
  4. Step 4: Simplify right side
    2,286.15x = 2,830,066.68
  5. Step 5: Solve for x
    x = 2,830,066.68/2,286.15
  6. Step 6: Final answer
    x = 1,237.92

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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.