Home / 1,971.72-2,960.46-1,942.92

Finding the Fourth Proportional to 1,971.72, 2,960.46 and 1,942.92

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Solution

The fourth proportional to 1,971.72, 2,960.46 and 1,942.92 is: 2,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.72 : 2,960.46 = 1,942.92 : x
  2. Step 2: Convert to fraction form
    1,971.72/2,960.46 = 1,942.92/x
  3. Step 3: Cross multiply
    1,971.72x = 2,960.46 × 1,942.92
  4. Step 4: Simplify right side
    1,971.72x = 5,751,936.94
  5. Step 5: Solve for x
    x = 5,751,936.94/1,971.72
  6. Step 6: Final answer
    x = 2,917.22

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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.