Home / 2,286.74-3,428.07-825.55

Finding the Fourth Proportional to 2,286.74, 3,428.07 and 825.55

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Solution

The fourth proportional to 2,286.74, 3,428.07 and 825.55 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.74 : 3,428.07 = 825.55 : x
  2. Step 2: Convert to fraction form
    2,286.74/3,428.07 = 825.55/x
  3. Step 3: Cross multiply
    2,286.74x = 3,428.07 × 825.55
  4. Step 4: Simplify right side
    2,286.74x = 2,830,055.05
  5. Step 5: Solve for x
    x = 2,830,055.05/2,286.74
  6. Step 6: Final answer
    x = 1,237.59

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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.