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Finding the Fourth Proportional to 8,632.12, 11,912.10 and 4,906.12

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Solution

The fourth proportional to 8,632.12, 11,912.10 and 4,906.12 is: 6,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.12 : 11,912.10 = 4,906.12 : x
  2. Step 2: Convert to fraction form
    8,632.12/11,912.10 = 4,906.12/x
  3. Step 3: Cross multiply
    8,632.12x = 11,912.10 × 4,906.12
  4. Step 4: Simplify right side
    8,632.12x = 58,442,192.05
  5. Step 5: Solve for x
    x = 58,442,192.05/8,632.12
  6. Step 6: Final answer
    x = 6,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.