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Finding the Fourth Proportional to 1,273.35, 1,910.03 and 1,171.83

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Solution

The fourth proportional to 1,273.35, 1,910.03 and 1,171.83 is: 1,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.35 : 1,910.03 = 1,171.83 : x
  2. Step 2: Convert to fraction form
    1,273.35/1,910.03 = 1,171.83/x
  3. Step 3: Cross multiply
    1,273.35x = 1,910.03 × 1,171.83
  4. Step 4: Simplify right side
    1,273.35x = 2,238,224.60
  5. Step 5: Solve for x
    x = 2,238,224.60/1,273.35
  6. Step 6: Final answer
    x = 1,757.75

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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.