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Finding the Fourth Proportional to 11,919.66, 17,877.04 and 4,892.82

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Solution

The fourth proportional to 11,919.66, 17,877.04 and 4,892.82 is: 7,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.66 : 17,877.04 = 4,892.82 : x
  2. Step 2: Convert to fraction form
    11,919.66/17,877.04 = 4,892.82/x
  3. Step 3: Cross multiply
    11,919.66x = 17,877.04 × 4,892.82
  4. Step 4: Simplify right side
    11,919.66x = 87,469,138.85
  5. Step 5: Solve for x
    x = 87,469,138.85/11,919.66
  6. Step 6: Final answer
    x = 7,338.22

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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.