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Finding the Fourth Proportional to 1,961.91, 2,942.76 and 500.97

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Solution

The fourth proportional to 1,961.91, 2,942.76 and 500.97 is: 751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.91 : 2,942.76 = 500.97 : x
  2. Step 2: Convert to fraction form
    1,961.91/2,942.76 = 500.97/x
  3. Step 3: Cross multiply
    1,961.91x = 2,942.76 × 500.97
  4. Step 4: Simplify right side
    1,961.91x = 1,474,247.39
  5. Step 5: Solve for x
    x = 1,474,247.39/1,961.91
  6. Step 6: Final answer
    x = 751.43

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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.