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Finding the Fourth Proportional to 6,115.76, 9,167.42 and 2,412.90

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Solution

The fourth proportional to 6,115.76, 9,167.42 and 2,412.90 is: 3,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.76 : 9,167.42 = 2,412.90 : x
  2. Step 2: Convert to fraction form
    6,115.76/9,167.42 = 2,412.90/x
  3. Step 3: Cross multiply
    6,115.76x = 9,167.42 × 2,412.90
  4. Step 4: Simplify right side
    6,115.76x = 22,120,067.72
  5. Step 5: Solve for x
    x = 22,120,067.72/6,115.76
  6. Step 6: Final answer
    x = 3,616.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.