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Finding the Fourth Proportional to 3,881.82, 5,824.53 and 2,842.86

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Solution

The fourth proportional to 3,881.82, 5,824.53 and 2,842.86 is: 4,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.82 : 5,824.53 = 2,842.86 : x
  2. Step 2: Convert to fraction form
    3,881.82/5,824.53 = 2,842.86/x
  3. Step 3: Cross multiply
    3,881.82x = 5,824.53 × 2,842.86
  4. Step 4: Simplify right side
    3,881.82x = 16,558,323.36
  5. Step 5: Solve for x
    x = 16,558,323.36/3,881.82
  6. Step 6: Final answer
    x = 4,265.61

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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.