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Finding the Fourth Proportional to 3,864.43, 5,793.11 and 1,398.68

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Solution

The fourth proportional to 3,864.43, 5,793.11 and 1,398.68 is: 2,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.43 : 5,793.11 = 1,398.68 : x
  2. Step 2: Convert to fraction form
    3,864.43/5,793.11 = 1,398.68/x
  3. Step 3: Cross multiply
    3,864.43x = 5,793.11 × 1,398.68
  4. Step 4: Simplify right side
    3,864.43x = 8,102,714.58
  5. Step 5: Solve for x
    x = 8,102,714.58/3,864.43
  6. Step 6: Final answer
    x = 2,096.74

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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.