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Finding the Fourth Proportional to 1,805.88, 2,703.69 and 1,187.73

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Solution

The fourth proportional to 1,805.88, 2,703.69 and 1,187.73 is: 1,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.88 : 2,703.69 = 1,187.73 : x
  2. Step 2: Convert to fraction form
    1,805.88/2,703.69 = 1,187.73/x
  3. Step 3: Cross multiply
    1,805.88x = 2,703.69 × 1,187.73
  4. Step 4: Simplify right side
    1,805.88x = 3,211,253.72
  5. Step 5: Solve for x
    x = 3,211,253.72/1,805.88
  6. Step 6: Final answer
    x = 1,778.22

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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.