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Finding the Fourth Proportional to 3,773.79, 5,649.75 and 2,787.21

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Solution

The fourth proportional to 3,773.79, 5,649.75 and 2,787.21 is: 4,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.79 : 5,649.75 = 2,787.21 : x
  2. Step 2: Convert to fraction form
    3,773.79/5,649.75 = 2,787.21/x
  3. Step 3: Cross multiply
    3,773.79x = 5,649.75 × 2,787.21
  4. Step 4: Simplify right side
    3,773.79x = 15,747,039.70
  5. Step 5: Solve for x
    x = 15,747,039.70/3,773.79
  6. Step 6: Final answer
    x = 4,172.74

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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.