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Finding the Fourth Proportional to 3,938.67, 5,906.79 and 1,341

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Solution

The fourth proportional to 3,938.67, 5,906.79 and 1,341 is: 2,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.67 : 5,906.79 = 1,341 : x
  2. Step 2: Convert to fraction form
    3,938.67/5,906.79 = 1,341/x
  3. Step 3: Cross multiply
    3,938.67x = 5,906.79 × 1,341
  4. Step 4: Simplify right side
    3,938.67x = 7,921,005.39
  5. Step 5: Solve for x
    x = 7,921,005.39/3,938.67
  6. Step 6: Final answer
    x = 2,011.09

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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.