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Finding the Fourth Proportional to 3,784.31, 5,672.26 and 2,856.86

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Solution

The fourth proportional to 3,784.31, 5,672.26 and 2,856.86 is: 4,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.31 : 5,672.26 = 2,856.86 : x
  2. Step 2: Convert to fraction form
    3,784.31/5,672.26 = 2,856.86/x
  3. Step 3: Cross multiply
    3,784.31x = 5,672.26 × 2,856.86
  4. Step 4: Simplify right side
    3,784.31x = 16,204,852.70
  5. Step 5: Solve for x
    x = 16,204,852.70/3,784.31
  6. Step 6: Final answer
    x = 4,282.12

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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.