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Finding the Fourth Proportional to 3,787.66, 5,682.65 and 1,940.08

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Solution

The fourth proportional to 3,787.66, 5,682.65 and 1,940.08 is: 2,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.66 : 5,682.65 = 1,940.08 : x
  2. Step 2: Convert to fraction form
    3,787.66/5,682.65 = 1,940.08/x
  3. Step 3: Cross multiply
    3,787.66x = 5,682.65 × 1,940.08
  4. Step 4: Simplify right side
    3,787.66x = 11,024,785.91
  5. Step 5: Solve for x
    x = 11,024,785.91/3,787.66
  6. Step 6: Final answer
    x = 2,910.72

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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.