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Finding the Fourth Proportional to 3,740.84, 5,162 and 2,147.66

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Solution

The fourth proportional to 3,740.84, 5,162 and 2,147.66 is: 2,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.84 : 5,162 = 2,147.66 : x
  2. Step 2: Convert to fraction form
    3,740.84/5,162 = 2,147.66/x
  3. Step 3: Cross multiply
    3,740.84x = 5,162 × 2,147.66
  4. Step 4: Simplify right side
    3,740.84x = 11,086,220.92
  5. Step 5: Solve for x
    x = 11,086,220.92/3,740.84
  6. Step 6: Final answer
    x = 2,963.56

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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.