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Finding the Fourth Proportional to 8,696.31, 13,046.37 and 3,149.08

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Solution

The fourth proportional to 8,696.31, 13,046.37 and 3,149.08 is: 4,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.31 : 13,046.37 = 3,149.08 : x
  2. Step 2: Convert to fraction form
    8,696.31/13,046.37 = 3,149.08/x
  3. Step 3: Cross multiply
    8,696.31x = 13,046.37 × 3,149.08
  4. Step 4: Simplify right side
    8,696.31x = 41,084,018.41
  5. Step 5: Solve for x
    x = 41,084,018.41/8,696.31
  6. Step 6: Final answer
    x = 4,724.30

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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.