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Finding the Fourth Proportional to 8,308.22, 12,433.14 and 6,447.47

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Solution

The fourth proportional to 8,308.22, 12,433.14 and 6,447.47 is: 9,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.22 : 12,433.14 = 6,447.47 : x
  2. Step 2: Convert to fraction form
    8,308.22/12,433.14 = 6,447.47/x
  3. Step 3: Cross multiply
    8,308.22x = 12,433.14 × 6,447.47
  4. Step 4: Simplify right side
    8,308.22x = 80,162,234.99
  5. Step 5: Solve for x
    x = 80,162,234.99/8,308.22
  6. Step 6: Final answer
    x = 9,648.55

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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.