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Finding the Fourth Proportional to 2,042.82, 3,064.50 and 2,016.90

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Solution

The fourth proportional to 2,042.82, 3,064.50 and 2,016.90 is: 3,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.82 : 3,064.50 = 2,016.90 : x
  2. Step 2: Convert to fraction form
    2,042.82/3,064.50 = 2,016.90/x
  3. Step 3: Cross multiply
    2,042.82x = 3,064.50 × 2,016.90
  4. Step 4: Simplify right side
    2,042.82x = 6,180,790.05
  5. Step 5: Solve for x
    x = 6,180,790.05/2,042.82
  6. Step 6: Final answer
    x = 3,025.62

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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.