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Finding the Fourth Proportional to 12,991.86, 17,917 and 8,514

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Solution

The fourth proportional to 12,991.86, 17,917 and 8,514 is: 11,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.86 : 17,917 = 8,514 : x
  2. Step 2: Convert to fraction form
    12,991.86/17,917 = 8,514/x
  3. Step 3: Cross multiply
    12,991.86x = 17,917 × 8,514
  4. Step 4: Simplify right side
    12,991.86x = 152,545,338
  5. Step 5: Solve for x
    x = 152,545,338/12,991.86
  6. Step 6: Final answer
    x = 11,741.61

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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.