Home / 1,942.38-2,912.32-1,415.48

Finding the Fourth Proportional to 1,942.38, 2,912.32 and 1,415.48

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Solution

The fourth proportional to 1,942.38, 2,912.32 and 1,415.48 is: 2,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.38 : 2,912.32 = 1,415.48 : x
  2. Step 2: Convert to fraction form
    1,942.38/2,912.32 = 1,415.48/x
  3. Step 3: Cross multiply
    1,942.38x = 2,912.32 × 1,415.48
  4. Step 4: Simplify right side
    1,942.38x = 4,122,330.71
  5. Step 5: Solve for x
    x = 4,122,330.71/1,942.38
  6. Step 6: Final answer
    x = 2,122.31

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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.