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Finding the Fourth Proportional to 8,135.67, 12,207.15 and 3,203.67

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Solution

The fourth proportional to 8,135.67, 12,207.15 and 3,203.67 is: 4,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.67 : 12,207.15 = 3,203.67 : x
  2. Step 2: Convert to fraction form
    8,135.67/12,207.15 = 3,203.67/x
  3. Step 3: Cross multiply
    8,135.67x = 12,207.15 × 3,203.67
  4. Step 4: Simplify right side
    8,135.67x = 39,107,680.24
  5. Step 5: Solve for x
    x = 39,107,680.24/8,135.67
  6. Step 6: Final answer
    x = 4,806.94

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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.