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Finding the Fourth Proportional to 2,858.54, 3,942.15 and 2,195.42

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Solution

The fourth proportional to 2,858.54, 3,942.15 and 2,195.42 is: 3,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.54 : 3,942.15 = 2,195.42 : x
  2. Step 2: Convert to fraction form
    2,858.54/3,942.15 = 2,195.42/x
  3. Step 3: Cross multiply
    2,858.54x = 3,942.15 × 2,195.42
  4. Step 4: Simplify right side
    2,858.54x = 8,654,674.95
  5. Step 5: Solve for x
    x = 8,654,674.95/2,858.54
  6. Step 6: Final answer
    x = 3,027.66

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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.