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Finding the Fourth Proportional to 11,883.62, 17,821.78 and 8,209.46

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Solution

The fourth proportional to 11,883.62, 17,821.78 and 8,209.46 is: 12,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.62 : 17,821.78 = 8,209.46 : x
  2. Step 2: Convert to fraction form
    11,883.62/17,821.78 = 8,209.46/x
  3. Step 3: Cross multiply
    11,883.62x = 17,821.78 × 8,209.46
  4. Step 4: Simplify right side
    11,883.62x = 146,307,187.03
  5. Step 5: Solve for x
    x = 146,307,187.03/11,883.62
  6. Step 6: Final answer
    x = 12,311.67

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1.5x scale

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.