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Finding the Fourth Proportional to 8,102.66, 12,157.70 and 3,661.52

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Solution

The fourth proportional to 8,102.66, 12,157.70 and 3,661.52 is: 5,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.66 : 12,157.70 = 3,661.52 : x
  2. Step 2: Convert to fraction form
    8,102.66/12,157.70 = 3,661.52/x
  3. Step 3: Cross multiply
    8,102.66x = 12,157.70 × 3,661.52
  4. Step 4: Simplify right side
    8,102.66x = 44,515,661.70
  5. Step 5: Solve for x
    x = 44,515,661.70/8,102.66
  6. Step 6: Final answer
    x = 5,493.96

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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.