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Finding the Fourth Proportional to 2,027.94, 3,042.45 and 729.78

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Solution

The fourth proportional to 2,027.94, 3,042.45 and 729.78 is: 1,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.94 : 3,042.45 = 729.78 : x
  2. Step 2: Convert to fraction form
    2,027.94/3,042.45 = 729.78/x
  3. Step 3: Cross multiply
    2,027.94x = 3,042.45 × 729.78
  4. Step 4: Simplify right side
    2,027.94x = 2,220,319.16
  5. Step 5: Solve for x
    x = 2,220,319.16/2,027.94
  6. Step 6: Final answer
    x = 1,094.86

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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.