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Finding the Fourth Proportional to 6,218.56, 8,581.56 and 3,424

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Solution

The fourth proportional to 6,218.56, 8,581.56 and 3,424 is: 4,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.56 : 8,581.56 = 3,424 : x
  2. Step 2: Convert to fraction form
    6,218.56/8,581.56 = 3,424/x
  3. Step 3: Cross multiply
    6,218.56x = 8,581.56 × 3,424
  4. Step 4: Simplify right side
    6,218.56x = 29,383,261.44
  5. Step 5: Solve for x
    x = 29,383,261.44/6,218.56
  6. Step 6: Final answer
    x = 4,725.09

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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.