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Finding the Fourth Proportional to 15,743, 21,725.34 and 8,669.41

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Solution

The fourth proportional to 15,743, 21,725.34 and 8,669.41 is: 11,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743 : 21,725.34 = 8,669.41 : x
  2. Step 2: Convert to fraction form
    15,743/21,725.34 = 8,669.41/x
  3. Step 3: Cross multiply
    15,743x = 21,725.34 × 8,669.41
  4. Step 4: Simplify right side
    15,743x = 188,345,879.85
  5. Step 5: Solve for x
    x = 188,345,879.85/15,743
  6. Step 6: Final answer
    x = 11,963.79

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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.