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Finding the Fourth Proportional to 8,171.58, 12,255.81 and 3,173.95

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Solution

The fourth proportional to 8,171.58, 12,255.81 and 3,173.95 is: 4,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.58 : 12,255.81 = 3,173.95 : x
  2. Step 2: Convert to fraction form
    8,171.58/12,255.81 = 3,173.95/x
  3. Step 3: Cross multiply
    8,171.58x = 12,255.81 × 3,173.95
  4. Step 4: Simplify right side
    8,171.58x = 38,899,331.57
  5. Step 5: Solve for x
    x = 38,899,331.57/8,171.58
  6. Step 6: Final answer
    x = 4,760.32

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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.