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Finding the Fourth Proportional to 7,863.44, 11,785.44 and 3,968.96

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Solution

The fourth proportional to 7,863.44, 11,785.44 and 3,968.96 is: 5,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.44 : 11,785.44 = 3,968.96 : x
  2. Step 2: Convert to fraction form
    7,863.44/11,785.44 = 3,968.96/x
  3. Step 3: Cross multiply
    7,863.44x = 11,785.44 × 3,968.96
  4. Step 4: Simplify right side
    7,863.44x = 46,775,939.94
  5. Step 5: Solve for x
    x = 46,775,939.94/7,863.44
  6. Step 6: Final answer
    x = 5,948.53

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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.