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Finding the Fourth Proportional to 8,255.40, 12,383.10 and 8,206.80

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Solution

The fourth proportional to 8,255.40, 12,383.10 and 8,206.80 is: 12,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.40 : 12,383.10 = 8,206.80 : x
  2. Step 2: Convert to fraction form
    8,255.40/12,383.10 = 8,206.80/x
  3. Step 3: Cross multiply
    8,255.40x = 12,383.10 × 8,206.80
  4. Step 4: Simplify right side
    8,255.40x = 101,625,625.08
  5. Step 5: Solve for x
    x = 101,625,625.08/8,255.40
  6. Step 6: Final answer
    x = 12,310.20

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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.