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Finding the Fourth Proportional to 8,111.50, 12,171.93 and 3,431.20

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Solution

The fourth proportional to 8,111.50, 12,171.93 and 3,431.20 is: 5,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.50 : 12,171.93 = 3,431.20 : x
  2. Step 2: Convert to fraction form
    8,111.50/12,171.93 = 3,431.20/x
  3. Step 3: Cross multiply
    8,111.50x = 12,171.93 × 3,431.20
  4. Step 4: Simplify right side
    8,111.50x = 41,764,326.22
  5. Step 5: Solve for x
    x = 41,764,326.22/8,111.50
  6. Step 6: Final answer
    x = 5,148.78

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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.