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Finding the Fourth Proportional to 8,451.50, 12,677.28 and 2,906.44

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Solution

The fourth proportional to 8,451.50, 12,677.28 and 2,906.44 is: 4,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.50 : 12,677.28 = 2,906.44 : x
  2. Step 2: Convert to fraction form
    8,451.50/12,677.28 = 2,906.44/x
  3. Step 3: Cross multiply
    8,451.50x = 12,677.28 × 2,906.44
  4. Step 4: Simplify right side
    8,451.50x = 36,845,753.68
  5. Step 5: Solve for x
    x = 36,845,753.68/8,451.50
  6. Step 6: Final answer
    x = 4,359.67

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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.