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Finding the Fourth Proportional to 1,981.26, 2,972.36 and 682.74

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Solution

The fourth proportional to 1,981.26, 2,972.36 and 682.74 is: 1,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.26 : 2,972.36 = 682.74 : x
  2. Step 2: Convert to fraction form
    1,981.26/2,972.36 = 682.74/x
  3. Step 3: Cross multiply
    1,981.26x = 2,972.36 × 682.74
  4. Step 4: Simplify right side
    1,981.26x = 2,029,350.77
  5. Step 5: Solve for x
    x = 2,029,350.77/1,981.26
  6. Step 6: Final answer
    x = 1,024.27

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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.