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Finding the Fourth Proportional to 3,081.86, 4,627.07 and 1,581.94

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Solution

The fourth proportional to 3,081.86, 4,627.07 and 1,581.94 is: 2,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.86 : 4,627.07 = 1,581.94 : x
  2. Step 2: Convert to fraction form
    3,081.86/4,627.07 = 1,581.94/x
  3. Step 3: Cross multiply
    3,081.86x = 4,627.07 × 1,581.94
  4. Step 4: Simplify right side
    3,081.86x = 7,319,761.13
  5. Step 5: Solve for x
    x = 7,319,761.13/3,081.86
  6. Step 6: Final answer
    x = 2,375.11

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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.