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Finding the Fourth Proportional to 8,221.56, 12,341.10 and 3,543.88

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Solution

The fourth proportional to 8,221.56, 12,341.10 and 3,543.88 is: 5,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.56 : 12,341.10 = 3,543.88 : x
  2. Step 2: Convert to fraction form
    8,221.56/12,341.10 = 3,543.88/x
  3. Step 3: Cross multiply
    8,221.56x = 12,341.10 × 3,543.88
  4. Step 4: Simplify right side
    8,221.56x = 43,735,377.47
  5. Step 5: Solve for x
    x = 43,735,377.47/8,221.56
  6. Step 6: Final answer
    x = 5,319.60

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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.