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Finding the Fourth Proportional to 1,942.57, 2,914.26 and 643.94

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Solution

The fourth proportional to 1,942.57, 2,914.26 and 643.94 is: 966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.57 : 2,914.26 = 643.94 : x
  2. Step 2: Convert to fraction form
    1,942.57/2,914.26 = 643.94/x
  3. Step 3: Cross multiply
    1,942.57x = 2,914.26 × 643.94
  4. Step 4: Simplify right side
    1,942.57x = 1,876,608.58
  5. Step 5: Solve for x
    x = 1,876,608.58/1,942.57
  6. Step 6: Final answer
    x = 966.04

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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.