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Finding the Fourth Proportional to 2,550.96, 3,826.98 and 908.01

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Solution

The fourth proportional to 2,550.96, 3,826.98 and 908.01 is: 1,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.96 : 3,826.98 = 908.01 : x
  2. Step 2: Convert to fraction form
    2,550.96/3,826.98 = 908.01/x
  3. Step 3: Cross multiply
    2,550.96x = 3,826.98 × 908.01
  4. Step 4: Simplify right side
    2,550.96x = 3,474,936.11
  5. Step 5: Solve for x
    x = 3,474,936.11/2,550.96
  6. Step 6: Final answer
    x = 1,362.21

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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.