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Finding the Fourth Proportional to 2,027.96, 3,042.08 and 547.40

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Solution

The fourth proportional to 2,027.96, 3,042.08 and 547.40 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.96 : 3,042.08 = 547.40 : x
  2. Step 2: Convert to fraction form
    2,027.96/3,042.08 = 547.40/x
  3. Step 3: Cross multiply
    2,027.96x = 3,042.08 × 547.40
  4. Step 4: Simplify right side
    2,027.96x = 1,665,234.59
  5. Step 5: Solve for x
    x = 1,665,234.59/2,027.96
  6. Step 6: Final answer
    x = 821.14

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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.