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Finding the Fourth Proportional to 3,784.07, 5,221.24 and 2,211.86

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Solution

The fourth proportional to 3,784.07, 5,221.24 and 2,211.86 is: 3,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.07 : 5,221.24 = 2,211.86 : x
  2. Step 2: Convert to fraction form
    3,784.07/5,221.24 = 2,211.86/x
  3. Step 3: Cross multiply
    3,784.07x = 5,221.24 × 2,211.86
  4. Step 4: Simplify right side
    3,784.07x = 11,548,659.43
  5. Step 5: Solve for x
    x = 11,548,659.43/3,784.07
  6. Step 6: Final answer
    x = 3,051.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.