Home / 6,132-9,198.18-1,972.43

Finding the Fourth Proportional to 6,132, 9,198.18 and 1,972.43

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Solution

The fourth proportional to 6,132, 9,198.18 and 1,972.43 is: 2,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132 : 9,198.18 = 1,972.43 : x
  2. Step 2: Convert to fraction form
    6,132/9,198.18 = 1,972.43/x
  3. Step 3: Cross multiply
    6,132x = 9,198.18 × 1,972.43
  4. Step 4: Simplify right side
    6,132x = 18,142,766.18
  5. Step 5: Solve for x
    x = 18,142,766.18/6,132
  6. Step 6: Final answer
    x = 2,958.70

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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.