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Finding the Fourth Proportional to 3,067.12, 4,600.68 and 758.64

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Solution

The fourth proportional to 3,067.12, 4,600.68 and 758.64 is: 1,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.12 : 4,600.68 = 758.64 : x
  2. Step 2: Convert to fraction form
    3,067.12/4,600.68 = 758.64/x
  3. Step 3: Cross multiply
    3,067.12x = 4,600.68 × 758.64
  4. Step 4: Simplify right side
    3,067.12x = 3,490,259.88
  5. Step 5: Solve for x
    x = 3,490,259.88/3,067.12
  6. Step 6: Final answer
    x = 1,137.96

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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.