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Finding the Fourth Proportional to 3,792.54, 5,687.66 and 1,326.90

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Solution

The fourth proportional to 3,792.54, 5,687.66 and 1,326.90 is: 1,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.54 : 5,687.66 = 1,326.90 : x
  2. Step 2: Convert to fraction form
    3,792.54/5,687.66 = 1,326.90/x
  3. Step 3: Cross multiply
    3,792.54x = 5,687.66 × 1,326.90
  4. Step 4: Simplify right side
    3,792.54x = 7,546,956.05
  5. Step 5: Solve for x
    x = 7,546,956.05/3,792.54
  6. Step 6: Final answer
    x = 1,989.95

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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.