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Finding the Fourth Proportional to 3,787.66, 5,682.00 and 1,321.90

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Solution

The fourth proportional to 3,787.66, 5,682.00 and 1,321.90 is: 1,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.66 : 5,682.00 = 1,321.90 : x
  2. Step 2: Convert to fraction form
    3,787.66/5,682.00 = 1,321.90/x
  3. Step 3: Cross multiply
    3,787.66x = 5,682.00 × 1,321.90
  4. Step 4: Simplify right side
    3,787.66x = 7,511,026.55
  5. Step 5: Solve for x
    x = 7,511,026.55/3,787.66
  6. Step 6: Final answer
    x = 1,983.02

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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.