Home / 2,286.37-3,429.20-726.17

Finding the Fourth Proportional to 2,286.37, 3,429.20 and 726.17

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Solution

The fourth proportional to 2,286.37, 3,429.20 and 726.17 is: 1,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.37 : 3,429.20 = 726.17 : x
  2. Step 2: Convert to fraction form
    2,286.37/3,429.20 = 726.17/x
  3. Step 3: Cross multiply
    2,286.37x = 3,429.20 × 726.17
  4. Step 4: Simplify right side
    2,286.37x = 2,490,177.88
  5. Step 5: Solve for x
    x = 2,490,177.88/2,286.37
  6. Step 6: Final answer
    x = 1,089.14

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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.