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Finding the Fourth Proportional to 8,108, 12,163.60 and 2,562.16

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Solution

The fourth proportional to 8,108, 12,163.60 and 2,562.16 is: 3,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108 : 12,163.60 = 2,562.16 : x
  2. Step 2: Convert to fraction form
    8,108/12,163.60 = 2,562.16/x
  3. Step 3: Cross multiply
    8,108x = 12,163.60 × 2,562.16
  4. Step 4: Simplify right side
    8,108x = 31,165,089.38
  5. Step 5: Solve for x
    x = 31,165,089.38/8,108
  6. Step 6: Final answer
    x = 3,843.75

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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.