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Finding the Fourth Proportional to 3,863.07, 5,793.15 and 1,397.28

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Solution

The fourth proportional to 3,863.07, 5,793.15 and 1,397.28 is: 2,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.07 : 5,793.15 = 1,397.28 : x
  2. Step 2: Convert to fraction form
    3,863.07/5,793.15 = 1,397.28/x
  3. Step 3: Cross multiply
    3,863.07x = 5,793.15 × 1,397.28
  4. Step 4: Simplify right side
    3,863.07x = 8,094,652.63
  5. Step 5: Solve for x
    x = 8,094,652.63/3,863.07
  6. Step 6: Final answer
    x = 2,095.39

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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.