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Finding the Fourth Proportional to 3,854.61, 5,314.21 and 2,793.92

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Solution

The fourth proportional to 3,854.61, 5,314.21 and 2,793.92 is: 3,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.61 : 5,314.21 = 2,793.92 : x
  2. Step 2: Convert to fraction form
    3,854.61/5,314.21 = 2,793.92/x
  3. Step 3: Cross multiply
    3,854.61x = 5,314.21 × 2,793.92
  4. Step 4: Simplify right side
    3,854.61x = 14,847,444.05
  5. Step 5: Solve for x
    x = 14,847,444.05/3,854.61
  6. Step 6: Final answer
    x = 3,851.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.