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Finding the Fourth Proportional to 3,784.64, 5,672.21 and 2,025.29

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Solution

The fourth proportional to 3,784.64, 5,672.21 and 2,025.29 is: 3,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.64 : 5,672.21 = 2,025.29 : x
  2. Step 2: Convert to fraction form
    3,784.64/5,672.21 = 2,025.29/x
  3. Step 3: Cross multiply
    3,784.64x = 5,672.21 × 2,025.29
  4. Step 4: Simplify right side
    3,784.64x = 11,487,853.73
  5. Step 5: Solve for x
    x = 11,487,853.73/3,784.64
  6. Step 6: Final answer
    x = 3,035.39

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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.