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Finding the Fourth Proportional to 2,369.79, 3,552.21 and 908.55

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Solution

The fourth proportional to 2,369.79, 3,552.21 and 908.55 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.79 : 3,552.21 = 908.55 : x
  2. Step 2: Convert to fraction form
    2,369.79/3,552.21 = 908.55/x
  3. Step 3: Cross multiply
    2,369.79x = 3,552.21 × 908.55
  4. Step 4: Simplify right side
    2,369.79x = 3,227,360.40
  5. Step 5: Solve for x
    x = 3,227,360.40/2,369.79
  6. Step 6: Final answer
    x = 1,361.88

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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.