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Finding the Fourth Proportional to 8,221.22, 12,331.84 and 2,065.22

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Solution

The fourth proportional to 8,221.22, 12,331.84 and 2,065.22 is: 3,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.22 : 12,331.84 = 2,065.22 : x
  2. Step 2: Convert to fraction form
    8,221.22/12,331.84 = 2,065.22/x
  3. Step 3: Cross multiply
    8,221.22x = 12,331.84 × 2,065.22
  4. Step 4: Simplify right side
    8,221.22x = 25,467,962.60
  5. Step 5: Solve for x
    x = 25,467,962.60/8,221.22
  6. Step 6: Final answer
    x = 3,097.83

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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.