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Finding the Fourth Proportional to 4,187.64, 5,764.14 and 3,691.56

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Solution

The fourth proportional to 4,187.64, 5,764.14 and 3,691.56 is: 5,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.64 : 5,764.14 = 3,691.56 : x
  2. Step 2: Convert to fraction form
    4,187.64/5,764.14 = 3,691.56/x
  3. Step 3: Cross multiply
    4,187.64x = 5,764.14 × 3,691.56
  4. Step 4: Simplify right side
    4,187.64x = 21,278,668.66
  5. Step 5: Solve for x
    x = 21,278,668.66/4,187.64
  6. Step 6: Final answer
    x = 5,081.30

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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.