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Finding the Fourth Proportional to 8,611.64, 12,917 and 2,767.80

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Solution

The fourth proportional to 8,611.64, 12,917 and 2,767.80 is: 4,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.64 : 12,917 = 2,767.80 : x
  2. Step 2: Convert to fraction form
    8,611.64/12,917 = 2,767.80/x
  3. Step 3: Cross multiply
    8,611.64x = 12,917 × 2,767.80
  4. Step 4: Simplify right side
    8,611.64x = 35,751,672.60
  5. Step 5: Solve for x
    x = 35,751,672.60/8,611.64
  6. Step 6: Final answer
    x = 4,151.55

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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.