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Finding the Fourth Proportional to 1,942.14, 2,912.79 and 968.52

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Solution

The fourth proportional to 1,942.14, 2,912.79 and 968.52 is: 1,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.14 : 2,912.79 = 968.52 : x
  2. Step 2: Convert to fraction form
    1,942.14/2,912.79 = 968.52/x
  3. Step 3: Cross multiply
    1,942.14x = 2,912.79 × 968.52
  4. Step 4: Simplify right side
    1,942.14x = 2,821,095.37
  5. Step 5: Solve for x
    x = 2,821,095.37/1,942.14
  6. Step 6: Final answer
    x = 1,452.57

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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.