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Finding the Fourth Proportional to 3,980.38, 5,972.25 and 2,131

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Solution

The fourth proportional to 3,980.38, 5,972.25 and 2,131 is: 3,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.38 : 5,972.25 = 2,131 : x
  2. Step 2: Convert to fraction form
    3,980.38/5,972.25 = 2,131/x
  3. Step 3: Cross multiply
    3,980.38x = 5,972.25 × 2,131
  4. Step 4: Simplify right side
    3,980.38x = 12,726,864.75
  5. Step 5: Solve for x
    x = 12,726,864.75/3,980.38
  6. Step 6: Final answer
    x = 3,197.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.