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Finding the Fourth Proportional to 11,728, 16,184.68 and 6,760

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Solution

The fourth proportional to 11,728, 16,184.68 and 6,760 is: 9,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 16,184.68 = 6,760 : x
  2. Step 2: Convert to fraction form
    11,728/16,184.68 = 6,760/x
  3. Step 3: Cross multiply
    11,728x = 16,184.68 × 6,760
  4. Step 4: Simplify right side
    11,728x = 109,408,436.80
  5. Step 5: Solve for x
    x = 109,408,436.80/11,728
  6. Step 6: Final answer
    x = 9,328.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.