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Finding the Fourth Proportional to 7,902.82, 11,857.13 and 3,739.69

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Solution

The fourth proportional to 7,902.82, 11,857.13 and 3,739.69 is: 5,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.82 : 11,857.13 = 3,739.69 : x
  2. Step 2: Convert to fraction form
    7,902.82/11,857.13 = 3,739.69/x
  3. Step 3: Cross multiply
    7,902.82x = 11,857.13 × 3,739.69
  4. Step 4: Simplify right side
    7,902.82x = 44,341,990.49
  5. Step 5: Solve for x
    x = 44,341,990.49/7,902.82
  6. Step 6: Final answer
    x = 5,610.91

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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.