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Finding the Fourth Proportional to 2,042.15, 3,063.71 and 581.31

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Solution

The fourth proportional to 2,042.15, 3,063.71 and 581.31 is: 872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.15 : 3,063.71 = 581.31 : x
  2. Step 2: Convert to fraction form
    2,042.15/3,063.71 = 581.31/x
  3. Step 3: Cross multiply
    2,042.15x = 3,063.71 × 581.31
  4. Step 4: Simplify right side
    2,042.15x = 1,780,965.26
  5. Step 5: Solve for x
    x = 1,780,965.26/2,042.15
  6. Step 6: Final answer
    x = 872.10

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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.