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Finding the Fourth Proportional to 3,788, 5,227.76 and 2,132.32

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Solution

The fourth proportional to 3,788, 5,227.76 and 2,132.32 is: 2,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788 : 5,227.76 = 2,132.32 : x
  2. Step 2: Convert to fraction form
    3,788/5,227.76 = 2,132.32/x
  3. Step 3: Cross multiply
    3,788x = 5,227.76 × 2,132.32
  4. Step 4: Simplify right side
    3,788x = 11,147,257.20
  5. Step 5: Solve for x
    x = 11,147,257.20/3,788
  6. Step 6: Final answer
    x = 2,942.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.