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Finding the Fourth Proportional to 2,940, 4,059 and 1,893.96

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Solution

The fourth proportional to 2,940, 4,059 and 1,893.96 is: 2,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940 : 4,059 = 1,893.96 : x
  2. Step 2: Convert to fraction form
    2,940/4,059 = 1,893.96/x
  3. Step 3: Cross multiply
    2,940x = 4,059 × 1,893.96
  4. Step 4: Simplify right side
    2,940x = 7,687,583.64
  5. Step 5: Solve for x
    x = 7,687,583.64/2,940
  6. Step 6: Final answer
    x = 2,614.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.