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Finding the Fourth Proportional to 8,511.96, 12,763.62 and 3,891

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Solution

The fourth proportional to 8,511.96, 12,763.62 and 3,891 is: 5,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.96 : 12,763.62 = 3,891 : x
  2. Step 2: Convert to fraction form
    8,511.96/12,763.62 = 3,891/x
  3. Step 3: Cross multiply
    8,511.96x = 12,763.62 × 3,891
  4. Step 4: Simplify right side
    8,511.96x = 49,663,245.42
  5. Step 5: Solve for x
    x = 49,663,245.42/8,511.96
  6. Step 6: Final answer
    x = 5,834.53

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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.