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Finding the Fourth Proportional to 8,171.75, 12,257.66 and 2,015.75

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Solution

The fourth proportional to 8,171.75, 12,257.66 and 2,015.75 is: 3,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.75 : 12,257.66 = 2,015.75 : x
  2. Step 2: Convert to fraction form
    8,171.75/12,257.66 = 2,015.75/x
  3. Step 3: Cross multiply
    8,171.75x = 12,257.66 × 2,015.75
  4. Step 4: Simplify right side
    8,171.75x = 24,708,368.07
  5. Step 5: Solve for x
    x = 24,708,368.07/8,171.75
  6. Step 6: Final answer
    x = 3,023.63

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Similar ratio
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1.5x scale

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.