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Finding the Fourth Proportional to 7,951, 11,930.84 and 3,847

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Solution

The fourth proportional to 7,951, 11,930.84 and 3,847 is: 5,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951 : 11,930.84 = 3,847 : x
  2. Step 2: Convert to fraction form
    7,951/11,930.84 = 3,847/x
  3. Step 3: Cross multiply
    7,951x = 11,930.84 × 3,847
  4. Step 4: Simplify right side
    7,951x = 45,897,941.48
  5. Step 5: Solve for x
    x = 45,897,941.48/7,951
  6. Step 6: Final answer
    x = 5,772.60

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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.