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Finding the Fourth Proportional to 2,758.08, 4,137.39 and 908.44

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Solution

The fourth proportional to 2,758.08, 4,137.39 and 908.44 is: 1,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.08 : 4,137.39 = 908.44 : x
  2. Step 2: Convert to fraction form
    2,758.08/4,137.39 = 908.44/x
  3. Step 3: Cross multiply
    2,758.08x = 4,137.39 × 908.44
  4. Step 4: Simplify right side
    2,758.08x = 3,758,570.57
  5. Step 5: Solve for x
    x = 3,758,570.57/2,758.08
  6. Step 6: Final answer
    x = 1,362.75

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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.