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Finding the Fourth Proportional to 12,706.67, 17,540.35 and 8,234.26

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Solution

The fourth proportional to 12,706.67, 17,540.35 and 8,234.26 is: 11,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.67 : 17,540.35 = 8,234.26 : x
  2. Step 2: Convert to fraction form
    12,706.67/17,540.35 = 8,234.26/x
  3. Step 3: Cross multiply
    12,706.67x = 17,540.35 × 8,234.26
  4. Step 4: Simplify right side
    12,706.67x = 144,431,737.95
  5. Step 5: Solve for x
    x = 144,431,737.95/12,706.67
  6. Step 6: Final answer
    x = 11,366.61

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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.