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Finding the Fourth Proportional to 3,687.78, 5,087.42 and 2,194.86

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Solution

The fourth proportional to 3,687.78, 5,087.42 and 2,194.86 is: 3,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.78 : 5,087.42 = 2,194.86 : x
  2. Step 2: Convert to fraction form
    3,687.78/5,087.42 = 2,194.86/x
  3. Step 3: Cross multiply
    3,687.78x = 5,087.42 × 2,194.86
  4. Step 4: Simplify right side
    3,687.78x = 11,166,174.66
  5. Step 5: Solve for x
    x = 11,166,174.66/3,687.78
  6. Step 6: Final answer
    x = 3,027.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.