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Finding the Fourth Proportional to 2,369.62, 3,552 and 908.38

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Solution

The fourth proportional to 2,369.62, 3,552 and 908.38 is: 1,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.62 : 3,552 = 908.38 : x
  2. Step 2: Convert to fraction form
    2,369.62/3,552 = 908.38/x
  3. Step 3: Cross multiply
    2,369.62x = 3,552 × 908.38
  4. Step 4: Simplify right side
    2,369.62x = 3,226,565.76
  5. Step 5: Solve for x
    x = 3,226,565.76/2,369.62
  6. Step 6: Final answer
    x = 1,361.64

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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.