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Finding the Fourth Proportional to 6,314.31, 8,713.80 and 3,481.79

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Solution

The fourth proportional to 6,314.31, 8,713.80 and 3,481.79 is: 4,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.31 : 8,713.80 = 3,481.79 : x
  2. Step 2: Convert to fraction form
    6,314.31/8,713.80 = 3,481.79/x
  3. Step 3: Cross multiply
    6,314.31x = 8,713.80 × 3,481.79
  4. Step 4: Simplify right side
    6,314.31x = 30,339,578.13
  5. Step 5: Solve for x
    x = 30,339,578.13/6,314.31
  6. Step 6: Final answer
    x = 4,804.89

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1.5x scale

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.