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Finding the Fourth Proportional to 3,993.16, 5,989.67 and 1,654.42

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Solution

The fourth proportional to 3,993.16, 5,989.67 and 1,654.42 is: 2,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.16 : 5,989.67 = 1,654.42 : x
  2. Step 2: Convert to fraction form
    3,993.16/5,989.67 = 1,654.42/x
  3. Step 3: Cross multiply
    3,993.16x = 5,989.67 × 1,654.42
  4. Step 4: Simplify right side
    3,993.16x = 9,909,429.84
  5. Step 5: Solve for x
    x = 9,909,429.84/3,993.16
  6. Step 6: Final answer
    x = 2,481.60

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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.