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Finding the Fourth Proportional to 3,787.42, 5,682.06 and 1,814.55

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Solution

The fourth proportional to 3,787.42, 5,682.06 and 1,814.55 is: 2,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.42 : 5,682.06 = 1,814.55 : x
  2. Step 2: Convert to fraction form
    3,787.42/5,682.06 = 1,814.55/x
  3. Step 3: Cross multiply
    3,787.42x = 5,682.06 × 1,814.55
  4. Step 4: Simplify right side
    3,787.42x = 10,310,381.97
  5. Step 5: Solve for x
    x = 10,310,381.97/3,787.42
  6. Step 6: Final answer
    x = 2,722.27

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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.