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Finding the Fourth Proportional to 3,249.42, 4,876 and 3,223

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Solution

The fourth proportional to 3,249.42, 4,876 and 3,223 is: 4,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.42 : 4,876 = 3,223 : x
  2. Step 2: Convert to fraction form
    3,249.42/4,876 = 3,223/x
  3. Step 3: Cross multiply
    3,249.42x = 4,876 × 3,223
  4. Step 4: Simplify right side
    3,249.42x = 15,715,348
  5. Step 5: Solve for x
    x = 15,715,348/3,249.42
  6. Step 6: Final answer
    x = 4,836.35

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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.