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Finding the Fourth Proportional to 8,338, 12,511.32 and 4,234

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Solution

The fourth proportional to 8,338, 12,511.32 and 4,234 is: 6,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 12,511.32 = 4,234 : x
  2. Step 2: Convert to fraction form
    8,338/12,511.32 = 4,234/x
  3. Step 3: Cross multiply
    8,338x = 12,511.32 × 4,234
  4. Step 4: Simplify right side
    8,338x = 52,972,928.88
  5. Step 5: Solve for x
    x = 52,972,928.88/8,338
  6. Step 6: Final answer
    x = 6,353.19

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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.