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Finding the Fourth Proportional to 2,551.87, 3,827.81 and 908.43

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Solution

The fourth proportional to 2,551.87, 3,827.81 and 908.43 is: 1,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.87 : 3,827.81 = 908.43 : x
  2. Step 2: Convert to fraction form
    2,551.87/3,827.81 = 908.43/x
  3. Step 3: Cross multiply
    2,551.87x = 3,827.81 × 908.43
  4. Step 4: Simplify right side
    2,551.87x = 3,477,297.44
  5. Step 5: Solve for x
    x = 3,477,297.44/2,551.87
  6. Step 6: Final answer
    x = 1,362.65

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Similar ratio
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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.