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Finding the Fourth Proportional to 3,849.31, 5,772.54 and 1,383.46

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Solution

The fourth proportional to 3,849.31, 5,772.54 and 1,383.46 is: 2,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.31 : 5,772.54 = 1,383.46 : x
  2. Step 2: Convert to fraction form
    3,849.31/5,772.54 = 1,383.46/x
  3. Step 3: Cross multiply
    3,849.31x = 5,772.54 × 1,383.46
  4. Step 4: Simplify right side
    3,849.31x = 7,986,078.19
  5. Step 5: Solve for x
    x = 7,986,078.19/3,849.31
  6. Step 6: Final answer
    x = 2,074.68

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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.