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Finding the Fourth Proportional to 11,882, 17,816.46 and 8,138.10

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Solution

The fourth proportional to 11,882, 17,816.46 and 8,138.10 is: 12,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 17,816.46 = 8,138.10 : x
  2. Step 2: Convert to fraction form
    11,882/17,816.46 = 8,138.10/x
  3. Step 3: Cross multiply
    11,882x = 17,816.46 × 8,138.10
  4. Step 4: Simplify right side
    11,882x = 144,992,133.13
  5. Step 5: Solve for x
    x = 144,992,133.13/11,882
  6. Step 6: Final answer
    x = 12,202.67

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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.