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Finding the Fourth Proportional to 8,206.75, 12,311 and 2,283.62

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Solution

The fourth proportional to 8,206.75, 12,311 and 2,283.62 is: 3,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.75 : 12,311 = 2,283.62 : x
  2. Step 2: Convert to fraction form
    8,206.75/12,311 = 2,283.62/x
  3. Step 3: Cross multiply
    8,206.75x = 12,311 × 2,283.62
  4. Step 4: Simplify right side
    8,206.75x = 28,113,645.82
  5. Step 5: Solve for x
    x = 28,113,645.82/8,206.75
  6. Step 6: Final answer
    x = 3,425.67

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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.