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Finding the Fourth Proportional to 8,426.40, 12,641.22 and 3,231.88

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Solution

The fourth proportional to 8,426.40, 12,641.22 and 3,231.88 is: 4,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.40 : 12,641.22 = 3,231.88 : x
  2. Step 2: Convert to fraction form
    8,426.40/12,641.22 = 3,231.88/x
  3. Step 3: Cross multiply
    8,426.40x = 12,641.22 × 3,231.88
  4. Step 4: Simplify right side
    8,426.40x = 40,854,906.09
  5. Step 5: Solve for x
    x = 40,854,906.09/8,426.40
  6. Step 6: Final answer
    x = 4,848.44

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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.