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Finding the Fourth Proportional to 7,861.68, 11,788.02 and 3,183.96

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Solution

The fourth proportional to 7,861.68, 11,788.02 and 3,183.96 is: 4,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.68 : 11,788.02 = 3,183.96 : x
  2. Step 2: Convert to fraction form
    7,861.68/11,788.02 = 3,183.96/x
  3. Step 3: Cross multiply
    7,861.68x = 11,788.02 × 3,183.96
  4. Step 4: Simplify right side
    7,861.68x = 37,532,584.16
  5. Step 5: Solve for x
    x = 37,532,584.16/7,861.68
  6. Step 6: Final answer
    x = 4,774.12

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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.