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Finding the Fourth Proportional to 1,981.88, 2,972.82 and 827.63

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Solution

The fourth proportional to 1,981.88, 2,972.82 and 827.63 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.88 : 2,972.82 = 827.63 : x
  2. Step 2: Convert to fraction form
    1,981.88/2,972.82 = 827.63/x
  3. Step 3: Cross multiply
    1,981.88x = 2,972.82 × 827.63
  4. Step 4: Simplify right side
    1,981.88x = 2,460,380.15
  5. Step 5: Solve for x
    x = 2,460,380.15/1,981.88
  6. Step 6: Final answer
    x = 1,241.44

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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.