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Finding the Fourth Proportional to 3,989.40, 5,984.40 and 1,067.64

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Solution

The fourth proportional to 3,989.40, 5,984.40 and 1,067.64 is: 1,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.40 : 5,984.40 = 1,067.64 : x
  2. Step 2: Convert to fraction form
    3,989.40/5,984.40 = 1,067.64/x
  3. Step 3: Cross multiply
    3,989.40x = 5,984.40 × 1,067.64
  4. Step 4: Simplify right side
    3,989.40x = 6,389,184.82
  5. Step 5: Solve for x
    x = 6,389,184.82/3,989.40
  6. Step 6: Final answer
    x = 1,601.54

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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.