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Finding the Fourth Proportional to 1,961.92, 2,942.74 and 922.15

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Solution

The fourth proportional to 1,961.92, 2,942.74 and 922.15 is: 1,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.92 : 2,942.74 = 922.15 : x
  2. Step 2: Convert to fraction form
    1,961.92/2,942.74 = 922.15/x
  3. Step 3: Cross multiply
    1,961.92x = 2,942.74 × 922.15
  4. Step 4: Simplify right side
    1,961.92x = 2,713,647.69
  5. Step 5: Solve for x
    x = 2,713,647.69/1,961.92
  6. Step 6: Final answer
    x = 1,383.16

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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.