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Finding the Fourth Proportional to 5,193.82, 7,786.09 and 1,906.15

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Solution

The fourth proportional to 5,193.82, 7,786.09 and 1,906.15 is: 2,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.82 : 7,786.09 = 1,906.15 : x
  2. Step 2: Convert to fraction form
    5,193.82/7,786.09 = 1,906.15/x
  3. Step 3: Cross multiply
    5,193.82x = 7,786.09 × 1,906.15
  4. Step 4: Simplify right side
    5,193.82x = 14,841,455.45
  5. Step 5: Solve for x
    x = 14,841,455.45/5,193.82
  6. Step 6: Final answer
    x = 2,857.52

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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.