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Finding the Fourth Proportional to 8,109.50, 12,167.24 and 2,844.90

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Solution

The fourth proportional to 8,109.50, 12,167.24 and 2,844.90 is: 4,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.50 : 12,167.24 = 2,844.90 : x
  2. Step 2: Convert to fraction form
    8,109.50/12,167.24 = 2,844.90/x
  3. Step 3: Cross multiply
    8,109.50x = 12,167.24 × 2,844.90
  4. Step 4: Simplify right side
    8,109.50x = 34,614,566.85
  5. Step 5: Solve for x
    x = 34,614,566.85/8,109.50
  6. Step 6: Final answer
    x = 4,268.40

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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.