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Finding the Fourth Proportional to 2,664.24, 3,994.79 and 908.61

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Solution

The fourth proportional to 2,664.24, 3,994.79 and 908.61 is: 1,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.24 : 3,994.79 = 908.61 : x
  2. Step 2: Convert to fraction form
    2,664.24/3,994.79 = 908.61/x
  3. Step 3: Cross multiply
    2,664.24x = 3,994.79 × 908.61
  4. Step 4: Simplify right side
    2,664.24x = 3,629,701.60
  5. Step 5: Solve for x
    x = 3,629,701.60/2,664.24
  6. Step 6: Final answer
    x = 1,362.38

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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.