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Finding the Fourth Proportional to 3,781, 5,674.06 and 1,349

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Solution

The fourth proportional to 3,781, 5,674.06 and 1,349 is: 2,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781 : 5,674.06 = 1,349 : x
  2. Step 2: Convert to fraction form
    3,781/5,674.06 = 1,349/x
  3. Step 3: Cross multiply
    3,781x = 5,674.06 × 1,349
  4. Step 4: Simplify right side
    3,781x = 7,654,306.94
  5. Step 5: Solve for x
    x = 7,654,306.94/3,781
  6. Step 6: Final answer
    x = 2,024.41

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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.