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Finding the Fourth Proportional to 1,906.95, 2,860.97 and 1,127.64

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Solution

The fourth proportional to 1,906.95, 2,860.97 and 1,127.64 is: 1,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.95 : 2,860.97 = 1,127.64 : x
  2. Step 2: Convert to fraction form
    1,906.95/2,860.97 = 1,127.64/x
  3. Step 3: Cross multiply
    1,906.95x = 2,860.97 × 1,127.64
  4. Step 4: Simplify right side
    1,906.95x = 3,226,138.57
  5. Step 5: Solve for x
    x = 3,226,138.57/1,906.95
  6. Step 6: Final answer
    x = 1,691.78

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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.