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Finding the Fourth Proportional to 8,221.96, 12,339.42 and 3,841.48

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Solution

The fourth proportional to 8,221.96, 12,339.42 and 3,841.48 is: 5,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.96 : 12,339.42 = 3,841.48 : x
  2. Step 2: Convert to fraction form
    8,221.96/12,339.42 = 3,841.48/x
  3. Step 3: Cross multiply
    8,221.96x = 12,339.42 × 3,841.48
  4. Step 4: Simplify right side
    8,221.96x = 47,401,635.14
  5. Step 5: Solve for x
    x = 47,401,635.14/8,221.96
  6. Step 6: Final answer
    x = 5,765.25

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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.