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Finding the Fourth Proportional to 7,884, 11,826 and 3,267.12

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Solution

The fourth proportional to 7,884, 11,826 and 3,267.12 is: 4,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 11,826 = 3,267.12 : x
  2. Step 2: Convert to fraction form
    7,884/11,826 = 3,267.12/x
  3. Step 3: Cross multiply
    7,884x = 11,826 × 3,267.12
  4. Step 4: Simplify right side
    7,884x = 38,636,961.12
  5. Step 5: Solve for x
    x = 38,636,961.12/7,884
  6. Step 6: Final answer
    x = 4,900.68

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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.