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Finding the Fourth Proportional to 7,861.44, 11,782.44 and 3,966.96

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Solution

The fourth proportional to 7,861.44, 11,782.44 and 3,966.96 is: 5,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.44 : 11,782.44 = 3,966.96 : x
  2. Step 2: Convert to fraction form
    7,861.44/11,782.44 = 3,966.96/x
  3. Step 3: Cross multiply
    7,861.44x = 11,782.44 × 3,966.96
  4. Step 4: Simplify right side
    7,861.44x = 46,740,468.18
  5. Step 5: Solve for x
    x = 46,740,468.18/7,861.44
  6. Step 6: Final answer
    x = 5,945.54

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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.