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Finding the Fourth Proportional to 12,694.91, 17,514.92 and 8,222.09

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Solution

The fourth proportional to 12,694.91, 17,514.92 and 8,222.09 is: 11,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.91 : 17,514.92 = 8,222.09 : x
  2. Step 2: Convert to fraction form
    12,694.91/17,514.92 = 8,222.09/x
  3. Step 3: Cross multiply
    12,694.91x = 17,514.92 × 8,222.09
  4. Step 4: Simplify right side
    12,694.91x = 144,009,248.58
  5. Step 5: Solve for x
    x = 144,009,248.58/12,694.91
  6. Step 6: Final answer
    x = 11,343.86

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1.5x scale

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.