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Finding the Fourth Proportional to 12,178.08, 16,809 and 6,876

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Solution

The fourth proportional to 12,178.08, 16,809 and 6,876 is: 9,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.08 : 16,809 = 6,876 : x
  2. Step 2: Convert to fraction form
    12,178.08/16,809 = 6,876/x
  3. Step 3: Cross multiply
    12,178.08x = 16,809 × 6,876
  4. Step 4: Simplify right side
    12,178.08x = 115,578,684
  5. Step 5: Solve for x
    x = 115,578,684/12,178.08
  6. Step 6: Final answer
    x = 9,490.71

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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.