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Finding the Fourth Proportional to 3,891.76, 5,840.06 and 2,835.62

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Solution

The fourth proportional to 3,891.76, 5,840.06 and 2,835.62 is: 4,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.76 : 5,840.06 = 2,835.62 : x
  2. Step 2: Convert to fraction form
    3,891.76/5,840.06 = 2,835.62/x
  3. Step 3: Cross multiply
    3,891.76x = 5,840.06 × 2,835.62
  4. Step 4: Simplify right side
    3,891.76x = 16,560,190.94
  5. Step 5: Solve for x
    x = 16,560,190.94/3,891.76
  6. Step 6: Final answer
    x = 4,255.19

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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.