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Finding the Fourth Proportional to 2,866.38, 4,294.08 and 1,940.34

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Solution

The fourth proportional to 2,866.38, 4,294.08 and 1,940.34 is: 2,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.38 : 4,294.08 = 1,940.34 : x
  2. Step 2: Convert to fraction form
    2,866.38/4,294.08 = 1,940.34/x
  3. Step 3: Cross multiply
    2,866.38x = 4,294.08 × 1,940.34
  4. Step 4: Simplify right side
    2,866.38x = 8,331,975.19
  5. Step 5: Solve for x
    x = 8,331,975.19/2,866.38
  6. Step 6: Final answer
    x = 2,906.79

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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.