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Finding the Fourth Proportional to 3,787.98, 5,677.31 and 2,860.64

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Solution

The fourth proportional to 3,787.98, 5,677.31 and 2,860.64 is: 4,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.98 : 5,677.31 = 2,860.64 : x
  2. Step 2: Convert to fraction form
    3,787.98/5,677.31 = 2,860.64/x
  3. Step 3: Cross multiply
    3,787.98x = 5,677.31 × 2,860.64
  4. Step 4: Simplify right side
    3,787.98x = 16,240,697.39
  5. Step 5: Solve for x
    x = 16,240,697.39/3,787.98
  6. Step 6: Final answer
    x = 4,287.43

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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.