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Finding the Fourth Proportional to 11,861.91, 17,794.22 and 3,965.46

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Solution

The fourth proportional to 11,861.91, 17,794.22 and 3,965.46 is: 5,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.91 : 17,794.22 = 3,965.46 : x
  2. Step 2: Convert to fraction form
    11,861.91/17,794.22 = 3,965.46/x
  3. Step 3: Cross multiply
    11,861.91x = 17,794.22 × 3,965.46
  4. Step 4: Simplify right side
    11,861.91x = 70,562,181.09
  5. Step 5: Solve for x
    x = 70,562,181.09/11,861.91
  6. Step 6: Final answer
    x = 5,948.64

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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.