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Finding the Fourth Proportional to 11,940.80, 17,912.16 and 6,741.44

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Solution

The fourth proportional to 11,940.80, 17,912.16 and 6,741.44 is: 10,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.80 : 17,912.16 = 6,741.44 : x
  2. Step 2: Convert to fraction form
    11,940.80/17,912.16 = 6,741.44/x
  3. Step 3: Cross multiply
    11,940.80x = 17,912.16 × 6,741.44
  4. Step 4: Simplify right side
    11,940.80x = 120,753,751.91
  5. Step 5: Solve for x
    x = 120,753,751.91/11,940.80
  6. Step 6: Final answer
    x = 10,112.70

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1.5x scale

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.