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Finding the Fourth Proportional to 1,982.59, 2,972.77 and 812.27

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Solution

The fourth proportional to 1,982.59, 2,972.77 and 812.27 is: 1,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.59 : 2,972.77 = 812.27 : x
  2. Step 2: Convert to fraction form
    1,982.59/2,972.77 = 812.27/x
  3. Step 3: Cross multiply
    1,982.59x = 2,972.77 × 812.27
  4. Step 4: Simplify right side
    1,982.59x = 2,414,691.89
  5. Step 5: Solve for x
    x = 2,414,691.89/1,982.59
  6. Step 6: Final answer
    x = 1,217.95

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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.