Home / 2,286.24-3,428.28-805.20

Finding the Fourth Proportional to 2,286.24, 3,428.28 and 805.20

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Solution

The fourth proportional to 2,286.24, 3,428.28 and 805.20 is: 1,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.24 : 3,428.28 = 805.20 : x
  2. Step 2: Convert to fraction form
    2,286.24/3,428.28 = 805.20/x
  3. Step 3: Cross multiply
    2,286.24x = 3,428.28 × 805.20
  4. Step 4: Simplify right side
    2,286.24x = 2,760,451.06
  5. Step 5: Solve for x
    x = 2,760,451.06/2,286.24
  6. Step 6: Final answer
    x = 1,207.42

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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.