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Finding the Fourth Proportional to 12,786.46, 17,647.41 and 8,008.21

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Solution

The fourth proportional to 12,786.46, 17,647.41 and 8,008.21 is: 11,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.46 : 17,647.41 = 8,008.21 : x
  2. Step 2: Convert to fraction form
    12,786.46/17,647.41 = 8,008.21/x
  3. Step 3: Cross multiply
    12,786.46x = 17,647.41 × 8,008.21
  4. Step 4: Simplify right side
    12,786.46x = 141,324,217.33
  5. Step 5: Solve for x
    x = 141,324,217.33/12,786.46
  6. Step 6: Final answer
    x = 11,052.65

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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.