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Finding the Fourth Proportional to 2,663.70, 3,994.20 and 908.43

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Solution

The fourth proportional to 2,663.70, 3,994.20 and 908.43 is: 1,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.70 : 3,994.20 = 908.43 : x
  2. Step 2: Convert to fraction form
    2,663.70/3,994.20 = 908.43/x
  3. Step 3: Cross multiply
    2,663.70x = 3,994.20 × 908.43
  4. Step 4: Simplify right side
    2,663.70x = 3,628,451.11
  5. Step 5: Solve for x
    x = 3,628,451.11/2,663.70
  6. Step 6: Final answer
    x = 1,362.18

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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.