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Finding the Fourth Proportional to 7,954, 11,935.34 and 3,850

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Solution

The fourth proportional to 7,954, 11,935.34 and 3,850 is: 5,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 11,935.34 = 3,850 : x
  2. Step 2: Convert to fraction form
    7,954/11,935.34 = 3,850/x
  3. Step 3: Cross multiply
    7,954x = 11,935.34 × 3,850
  4. Step 4: Simplify right side
    7,954x = 45,951,059
  5. Step 5: Solve for x
    x = 45,951,059/7,954
  6. Step 6: Final answer
    x = 5,777.10

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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.