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Finding the Fourth Proportional to 7,940.94, 11,911.68 and 3,009.48

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Solution

The fourth proportional to 7,940.94, 11,911.68 and 3,009.48 is: 4,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.94 : 11,911.68 = 3,009.48 : x
  2. Step 2: Convert to fraction form
    7,940.94/11,911.68 = 3,009.48/x
  3. Step 3: Cross multiply
    7,940.94x = 11,911.68 × 3,009.48
  4. Step 4: Simplify right side
    7,940.94x = 35,847,962.73
  5. Step 5: Solve for x
    x = 35,847,962.73/7,940.94
  6. Step 6: Final answer
    x = 4,514.32

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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.