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Finding the Fourth Proportional to 3,894.43, 5,836.17 and 1,698.58

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Solution

The fourth proportional to 3,894.43, 5,836.17 and 1,698.58 is: 2,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.43 : 5,836.17 = 1,698.58 : x
  2. Step 2: Convert to fraction form
    3,894.43/5,836.17 = 1,698.58/x
  3. Step 3: Cross multiply
    3,894.43x = 5,836.17 × 1,698.58
  4. Step 4: Simplify right side
    3,894.43x = 9,913,201.64
  5. Step 5: Solve for x
    x = 9,913,201.64/3,894.43
  6. Step 6: Final answer
    x = 2,545.48

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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.