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Finding the Fourth Proportional to 3,905.52, 5,386.68 and 3,067.44

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Solution

The fourth proportional to 3,905.52, 5,386.68 and 3,067.44 is: 4,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.52 : 5,386.68 = 3,067.44 : x
  2. Step 2: Convert to fraction form
    3,905.52/5,386.68 = 3,067.44/x
  3. Step 3: Cross multiply
    3,905.52x = 5,386.68 × 3,067.44
  4. Step 4: Simplify right side
    3,905.52x = 16,523,317.70
  5. Step 5: Solve for x
    x = 16,523,317.70/3,905.52
  6. Step 6: Final answer
    x = 4,230.76

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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.