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Finding the Fourth Proportional to 1,981.11, 2,972.12 and 665.04

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Solution

The fourth proportional to 1,981.11, 2,972.12 and 665.04 is: 997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.11 : 2,972.12 = 665.04 : x
  2. Step 2: Convert to fraction form
    1,981.11/2,972.12 = 665.04/x
  3. Step 3: Cross multiply
    1,981.11x = 2,972.12 × 665.04
  4. Step 4: Simplify right side
    1,981.11x = 1,976,563.30
  5. Step 5: Solve for x
    x = 1,976,563.30/1,981.11
  6. Step 6: Final answer
    x = 997.71

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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.