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Finding the Fourth Proportional to 2,758.24, 4,137.22 and 908.61

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Solution

The fourth proportional to 2,758.24, 4,137.22 and 908.61 is: 1,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.24 : 4,137.22 = 908.61 : x
  2. Step 2: Convert to fraction form
    2,758.24/4,137.22 = 908.61/x
  3. Step 3: Cross multiply
    2,758.24x = 4,137.22 × 908.61
  4. Step 4: Simplify right side
    2,758.24x = 3,759,119.46
  5. Step 5: Solve for x
    x = 3,759,119.46/2,758.24
  6. Step 6: Final answer
    x = 1,362.87

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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.