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Finding the Fourth Proportional to 3,742.50, 5,159.84 and 3,067.82

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Solution

The fourth proportional to 3,742.50, 5,159.84 and 3,067.82 is: 4,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.50 : 5,159.84 = 3,067.82 : x
  2. Step 2: Convert to fraction form
    3,742.50/5,159.84 = 3,067.82/x
  3. Step 3: Cross multiply
    3,742.50x = 5,159.84 × 3,067.82
  4. Step 4: Simplify right side
    3,742.50x = 15,829,419.21
  5. Step 5: Solve for x
    x = 15,829,419.21/3,742.50
  6. Step 6: Final answer
    x = 4,229.64

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