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Finding the Fourth Proportional to 3,302.44, 4,950.78 and 1,249

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Solution

The fourth proportional to 3,302.44, 4,950.78 and 1,249 is: 1,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.44 : 4,950.78 = 1,249 : x
  2. Step 2: Convert to fraction form
    3,302.44/4,950.78 = 1,249/x
  3. Step 3: Cross multiply
    3,302.44x = 4,950.78 × 1,249
  4. Step 4: Simplify right side
    3,302.44x = 6,183,524.22
  5. Step 5: Solve for x
    x = 6,183,524.22/3,302.44
  6. Step 6: Final answer
    x = 1,872.41

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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.