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Finding the Fourth Proportional to 3,787.71, 5,684.51 and 2,625.86

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Solution

The fourth proportional to 3,787.71, 5,684.51 and 2,625.86 is: 3,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.71 : 5,684.51 = 2,625.86 : x
  2. Step 2: Convert to fraction form
    3,787.71/5,684.51 = 2,625.86/x
  3. Step 3: Cross multiply
    3,787.71x = 5,684.51 × 2,625.86
  4. Step 4: Simplify right side
    3,787.71x = 14,926,685.88
  5. Step 5: Solve for x
    x = 14,926,685.88/3,787.71
  6. Step 6: Final answer
    x = 3,940.82

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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.