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Finding the Fourth Proportional to 7,843.41, 11,757.78 and 5,379.39

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Solution

The fourth proportional to 7,843.41, 11,757.78 and 5,379.39 is: 8,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.41 : 11,757.78 = 5,379.39 : x
  2. Step 2: Convert to fraction form
    7,843.41/11,757.78 = 5,379.39/x
  3. Step 3: Cross multiply
    7,843.41x = 11,757.78 × 5,379.39
  4. Step 4: Simplify right side
    7,843.41x = 63,249,684.15
  5. Step 5: Solve for x
    x = 63,249,684.15/7,843.41
  6. Step 6: Final answer
    x = 8,064.05

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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.