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Finding the Fourth Proportional to 11,083.36, 16,638 and 9,256

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Solution

The fourth proportional to 11,083.36, 16,638 and 9,256 is: 13,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.36 : 16,638 = 9,256 : x
  2. Step 2: Convert to fraction form
    11,083.36/16,638 = 9,256/x
  3. Step 3: Cross multiply
    11,083.36x = 16,638 × 9,256
  4. Step 4: Simplify right side
    11,083.36x = 154,001,328
  5. Step 5: Solve for x
    x = 154,001,328/11,083.36
  6. Step 6: Final answer
    x = 13,894.82

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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.