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Finding the Fourth Proportional to 11,885.62, 17,824.78 and 8,211.46

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Solution

The fourth proportional to 11,885.62, 17,824.78 and 8,211.46 is: 12,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.62 : 17,824.78 = 8,211.46 : x
  2. Step 2: Convert to fraction form
    11,885.62/17,824.78 = 8,211.46/x
  3. Step 3: Cross multiply
    11,885.62x = 17,824.78 × 8,211.46
  4. Step 4: Simplify right side
    11,885.62x = 146,367,467.98
  5. Step 5: Solve for x
    x = 146,367,467.98/11,885.62
  6. Step 6: Final answer
    x = 12,314.67

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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.