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Finding the Fourth Proportional to 3,864.14, 5,793.63 and 1,398.63

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Solution

The fourth proportional to 3,864.14, 5,793.63 and 1,398.63 is: 2,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.14 : 5,793.63 = 1,398.63 : x
  2. Step 2: Convert to fraction form
    3,864.14/5,793.63 = 1,398.63/x
  3. Step 3: Cross multiply
    3,864.14x = 5,793.63 × 1,398.63
  4. Step 4: Simplify right side
    3,864.14x = 8,103,144.73
  5. Step 5: Solve for x
    x = 8,103,144.73/3,864.14
  6. Step 6: Final answer
    x = 2,097.01

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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.