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Finding the Fourth Proportional to 8,171.73, 12,250.31 and 3,783.15

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Solution

The fourth proportional to 8,171.73, 12,250.31 and 3,783.15 is: 5,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.73 : 12,250.31 = 3,783.15 : x
  2. Step 2: Convert to fraction form
    8,171.73/12,250.31 = 3,783.15/x
  3. Step 3: Cross multiply
    8,171.73x = 12,250.31 × 3,783.15
  4. Step 4: Simplify right side
    8,171.73x = 46,344,741.36
  5. Step 5: Solve for x
    x = 46,344,741.36/8,171.73
  6. Step 6: Final answer
    x = 5,671.35

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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.