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Finding the Fourth Proportional to 3,828.97, 5,740.21 and 1,639.27

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Solution

The fourth proportional to 3,828.97, 5,740.21 and 1,639.27 is: 2,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.97 : 5,740.21 = 1,639.27 : x
  2. Step 2: Convert to fraction form
    3,828.97/5,740.21 = 1,639.27/x
  3. Step 3: Cross multiply
    3,828.97x = 5,740.21 × 1,639.27
  4. Step 4: Simplify right side
    3,828.97x = 9,409,754.05
  5. Step 5: Solve for x
    x = 9,409,754.05/3,828.97
  6. Step 6: Final answer
    x = 2,457.52

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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.