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Finding the Fourth Proportional to 7,616, 11,424 and 2,144

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Solution

The fourth proportional to 7,616, 11,424 and 2,144 is: 3,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616 : 11,424 = 2,144 : x
  2. Step 2: Convert to fraction form
    7,616/11,424 = 2,144/x
  3. Step 3: Cross multiply
    7,616x = 11,424 × 2,144
  4. Step 4: Simplify right side
    7,616x = 24,493,056
  5. Step 5: Solve for x
    x = 24,493,056/7,616
  6. Step 6: Final answer
    x = 3,216

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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.