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Finding the Fourth Proportional to 2,027.78, 3,042.10 and 641.52

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Solution

The fourth proportional to 2,027.78, 3,042.10 and 641.52 is: 962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.78 : 3,042.10 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,027.78/3,042.10 = 641.52/x
  3. Step 3: Cross multiply
    2,027.78x = 3,042.10 × 641.52
  4. Step 4: Simplify right side
    2,027.78x = 1,951,567.99
  5. Step 5: Solve for x
    x = 1,951,567.99/2,027.78
  6. Step 6: Final answer
    x = 962.42

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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.