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Finding the Fourth Proportional to 1,961.84, 2,942.76 and 664.22

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Solution

The fourth proportional to 1,961.84, 2,942.76 and 664.22 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.84 : 2,942.76 = 664.22 : x
  2. Step 2: Convert to fraction form
    1,961.84/2,942.76 = 664.22/x
  3. Step 3: Cross multiply
    1,961.84x = 2,942.76 × 664.22
  4. Step 4: Simplify right side
    1,961.84x = 1,954,625.33
  5. Step 5: Solve for x
    x = 1,954,625.33/1,961.84
  6. Step 6: Final answer
    x = 996.33

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1.5x scale

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.