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Finding the Fourth Proportional to 11,770.28, 17,654.86 and 3,979.16

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Solution

The fourth proportional to 11,770.28, 17,654.86 and 3,979.16 is: 5,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.28 : 17,654.86 = 3,979.16 : x
  2. Step 2: Convert to fraction form
    11,770.28/17,654.86 = 3,979.16/x
  3. Step 3: Cross multiply
    11,770.28x = 17,654.86 × 3,979.16
  4. Step 4: Simplify right side
    11,770.28x = 70,251,512.72
  5. Step 5: Solve for x
    x = 70,251,512.72/11,770.28
  6. Step 6: Final answer
    x = 5,968.55

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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.