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Finding the Fourth Proportional to 8,134.56, 12,201.84 and 2,291.18

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Solution

The fourth proportional to 8,134.56, 12,201.84 and 2,291.18 is: 3,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.56 : 12,201.84 = 2,291.18 : x
  2. Step 2: Convert to fraction form
    8,134.56/12,201.84 = 2,291.18/x
  3. Step 3: Cross multiply
    8,134.56x = 12,201.84 × 2,291.18
  4. Step 4: Simplify right side
    8,134.56x = 27,956,611.77
  5. Step 5: Solve for x
    x = 27,956,611.77/8,134.56
  6. Step 6: Final answer
    x = 3,436.77

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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.