Home / 1,942.14-2,912.67-643.44

Finding the Fourth Proportional to 1,942.14, 2,912.67 and 643.44

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Solution

The fourth proportional to 1,942.14, 2,912.67 and 643.44 is: 964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.14 : 2,912.67 = 643.44 : x
  2. Step 2: Convert to fraction form
    1,942.14/2,912.67 = 643.44/x
  3. Step 3: Cross multiply
    1,942.14x = 2,912.67 × 643.44
  4. Step 4: Simplify right side
    1,942.14x = 1,874,128.38
  5. Step 5: Solve for x
    x = 1,874,128.38/1,942.14
  6. Step 6: Final answer
    x = 964.98

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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.