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Finding the Fourth Proportional to 8,171, 12,256.50 and 2,015

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Solution

The fourth proportional to 8,171, 12,256.50 and 2,015 is: 3,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171 : 12,256.50 = 2,015 : x
  2. Step 2: Convert to fraction form
    8,171/12,256.50 = 2,015/x
  3. Step 3: Cross multiply
    8,171x = 12,256.50 × 2,015
  4. Step 4: Simplify right side
    8,171x = 24,696,847.50
  5. Step 5: Solve for x
    x = 24,696,847.50/8,171
  6. Step 6: Final answer
    x = 3,022.50

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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.