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Finding the Fourth Proportional to 8,121.11, 12,157 and 5,201.47

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Solution

The fourth proportional to 8,121.11, 12,157 and 5,201.47 is: 7,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.11 : 12,157 = 5,201.47 : x
  2. Step 2: Convert to fraction form
    8,121.11/12,157 = 5,201.47/x
  3. Step 3: Cross multiply
    8,121.11x = 12,157 × 5,201.47
  4. Step 4: Simplify right side
    8,121.11x = 63,234,270.79
  5. Step 5: Solve for x
    x = 63,234,270.79/8,121.11
  6. Step 6: Final answer
    x = 7,786.41

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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.