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Finding the Fourth Proportional to 11,078, 16,617 and 3,782

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Solution

The fourth proportional to 11,078, 16,617 and 3,782 is: 5,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078 : 16,617 = 3,782 : x
  2. Step 2: Convert to fraction form
    11,078/16,617 = 3,782/x
  3. Step 3: Cross multiply
    11,078x = 16,617 × 3,782
  4. Step 4: Simplify right side
    11,078x = 62,845,494
  5. Step 5: Solve for x
    x = 62,845,494/11,078
  6. Step 6: Final answer
    x = 5,673

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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.