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Finding the Fourth Proportional to 7,940.96, 11,912 and 3,009.68

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Solution

The fourth proportional to 7,940.96, 11,912 and 3,009.68 is: 4,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.96 : 11,912 = 3,009.68 : x
  2. Step 2: Convert to fraction form
    7,940.96/11,912 = 3,009.68/x
  3. Step 3: Cross multiply
    7,940.96x = 11,912 × 3,009.68
  4. Step 4: Simplify right side
    7,940.96x = 35,851,308.16
  5. Step 5: Solve for x
    x = 35,851,308.16/7,940.96
  6. Step 6: Final answer
    x = 4,514.73

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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.