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Finding the Fourth Proportional to 11,883.90, 16,372.22 and 9,891

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Solution

The fourth proportional to 11,883.90, 16,372.22 and 9,891 is: 13,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.90 : 16,372.22 = 9,891 : x
  2. Step 2: Convert to fraction form
    11,883.90/16,372.22 = 9,891/x
  3. Step 3: Cross multiply
    11,883.90x = 16,372.22 × 9,891
  4. Step 4: Simplify right side
    11,883.90x = 161,937,578.57
  5. Step 5: Solve for x
    x = 161,937,578.57/11,883.90
  6. Step 6: Final answer
    x = 13,626.64

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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.