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Finding the Fourth Proportional to 8,511.50, 12,757.78 and 6,424.74

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Solution

The fourth proportional to 8,511.50, 12,757.78 and 6,424.74 is: 9,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.50 : 12,757.78 = 6,424.74 : x
  2. Step 2: Convert to fraction form
    8,511.50/12,757.78 = 6,424.74/x
  3. Step 3: Cross multiply
    8,511.50x = 12,757.78 × 6,424.74
  4. Step 4: Simplify right side
    8,511.50x = 81,965,355.69
  5. Step 5: Solve for x
    x = 81,965,355.69/8,511.50
  6. Step 6: Final answer
    x = 9,629.96

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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.