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Finding the Fourth Proportional to 3,818.26, 5,727.99 and 1,627

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Solution

The fourth proportional to 3,818.26, 5,727.99 and 1,627 is: 2,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.26 : 5,727.99 = 1,627 : x
  2. Step 2: Convert to fraction form
    3,818.26/5,727.99 = 1,627/x
  3. Step 3: Cross multiply
    3,818.26x = 5,727.99 × 1,627
  4. Step 4: Simplify right side
    3,818.26x = 9,319,439.73
  5. Step 5: Solve for x
    x = 9,319,439.73/3,818.26
  6. Step 6: Final answer
    x = 2,440.76

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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.