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Finding the Fourth Proportional to 3,787.81, 5,682.72 and 2,699.08

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Solution

The fourth proportional to 3,787.81, 5,682.72 and 2,699.08 is: 4,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.81 : 5,682.72 = 2,699.08 : x
  2. Step 2: Convert to fraction form
    3,787.81/5,682.72 = 2,699.08/x
  3. Step 3: Cross multiply
    3,787.81x = 5,682.72 × 2,699.08
  4. Step 4: Simplify right side
    3,787.81x = 15,338,115.90
  5. Step 5: Solve for x
    x = 15,338,115.90/3,787.81
  6. Step 6: Final answer
    x = 4,049.34

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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.