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Finding the Fourth Proportional to 11,392.80, 17,081.10 and 5,147.70

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Solution

The fourth proportional to 11,392.80, 17,081.10 and 5,147.70 is: 7,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.80 : 17,081.10 = 5,147.70 : x
  2. Step 2: Convert to fraction form
    11,392.80/17,081.10 = 5,147.70/x
  3. Step 3: Cross multiply
    11,392.80x = 17,081.10 × 5,147.70
  4. Step 4: Simplify right side
    11,392.80x = 87,928,378.47
  5. Step 5: Solve for x
    x = 87,928,378.47/11,392.80
  6. Step 6: Final answer
    x = 7,717.89

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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.