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Finding the Fourth Proportional to 8,205.91, 12,306.13 and 3,274.22

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Solution

The fourth proportional to 8,205.91, 12,306.13 and 3,274.22 is: 4,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.91 : 12,306.13 = 3,274.22 : x
  2. Step 2: Convert to fraction form
    8,205.91/12,306.13 = 3,274.22/x
  3. Step 3: Cross multiply
    8,205.91x = 12,306.13 × 3,274.22
  4. Step 4: Simplify right side
    8,205.91x = 40,292,999.55
  5. Step 5: Solve for x
    x = 40,292,999.55/8,205.91
  6. Step 6: Final answer
    x = 4,910.24

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1.5x scale

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.