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Finding the Fourth Proportional to 3,792.37, 5,687.02 and 1,326.61

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Solution

The fourth proportional to 3,792.37, 5,687.02 and 1,326.61 is: 1,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.37 : 5,687.02 = 1,326.61 : x
  2. Step 2: Convert to fraction form
    3,792.37/5,687.02 = 1,326.61/x
  3. Step 3: Cross multiply
    3,792.37x = 5,687.02 × 1,326.61
  4. Step 4: Simplify right side
    3,792.37x = 7,544,457.60
  5. Step 5: Solve for x
    x = 7,544,457.60/3,792.37
  6. Step 6: Final answer
    x = 1,989.38

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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.