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Finding the Fourth Proportional to 7,838.86, 11,757.72 and 3,679.82

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Solution

The fourth proportional to 7,838.86, 11,757.72 and 3,679.82 is: 5,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.86 : 11,757.72 = 3,679.82 : x
  2. Step 2: Convert to fraction form
    7,838.86/11,757.72 = 3,679.82/x
  3. Step 3: Cross multiply
    7,838.86x = 11,757.72 × 3,679.82
  4. Step 4: Simplify right side
    7,838.86x = 43,266,293.21
  5. Step 5: Solve for x
    x = 43,266,293.21/7,838.86
  6. Step 6: Final answer
    x = 5,519.46

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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.