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Finding the Fourth Proportional to 2,286.99, 3,428.40 and 825.09

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Solution

The fourth proportional to 2,286.99, 3,428.40 and 825.09 is: 1,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.99 : 3,428.40 = 825.09 : x
  2. Step 2: Convert to fraction form
    2,286.99/3,428.40 = 825.09/x
  3. Step 3: Cross multiply
    2,286.99x = 3,428.40 × 825.09
  4. Step 4: Simplify right side
    2,286.99x = 2,828,738.56
  5. Step 5: Solve for x
    x = 2,828,738.56/2,286.99
  6. Step 6: Final answer
    x = 1,236.88

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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.