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Finding the Fourth Proportional to 2,042.15, 3,063.20 and 581.11

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Solution

The fourth proportional to 2,042.15, 3,063.20 and 581.11 is: 871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.15 : 3,063.20 = 581.11 : x
  2. Step 2: Convert to fraction form
    2,042.15/3,063.20 = 581.11/x
  3. Step 3: Cross multiply
    2,042.15x = 3,063.20 × 581.11
  4. Step 4: Simplify right side
    2,042.15x = 1,780,056.15
  5. Step 5: Solve for x
    x = 1,780,056.15/2,042.15
  6. Step 6: Final answer
    x = 871.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.