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Finding the Fourth Proportional to 1,981.22, 2,970.96 and 682.78

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Solution

The fourth proportional to 1,981.22, 2,970.96 and 682.78 is: 1,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.22 : 2,970.96 = 682.78 : x
  2. Step 2: Convert to fraction form
    1,981.22/2,970.96 = 682.78/x
  3. Step 3: Cross multiply
    1,981.22x = 2,970.96 × 682.78
  4. Step 4: Simplify right side
    1,981.22x = 2,028,512.07
  5. Step 5: Solve for x
    x = 2,028,512.07/1,981.22
  6. Step 6: Final answer
    x = 1,023.87

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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.