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Finding the Fourth Proportional to 8,111.56, 12,167.44 and 2,917.44

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Solution

The fourth proportional to 8,111.56, 12,167.44 and 2,917.44 is: 4,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.56 : 12,167.44 = 2,917.44 : x
  2. Step 2: Convert to fraction form
    8,111.56/12,167.44 = 2,917.44/x
  3. Step 3: Cross multiply
    8,111.56x = 12,167.44 × 2,917.44
  4. Step 4: Simplify right side
    8,111.56x = 35,497,776.15
  5. Step 5: Solve for x
    x = 35,497,776.15/8,111.56
  6. Step 6: Final answer
    x = 4,376.20

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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.