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Finding the Fourth Proportional to 11,901.72, 17,863.29 and 6,359.80

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Solution

The fourth proportional to 11,901.72, 17,863.29 and 6,359.80 is: 9,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.72 : 17,863.29 = 6,359.80 : x
  2. Step 2: Convert to fraction form
    11,901.72/17,863.29 = 6,359.80/x
  3. Step 3: Cross multiply
    11,901.72x = 17,863.29 × 6,359.80
  4. Step 4: Simplify right side
    11,901.72x = 113,606,919.94
  5. Step 5: Solve for x
    x = 113,606,919.94/11,901.72
  6. Step 6: Final answer
    x = 9,545.42

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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.