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Finding the Fourth Proportional to 12,170.31, 18,257.90 and 5,150.31

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Solution

The fourth proportional to 12,170.31, 18,257.90 and 5,150.31 is: 7,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.31 : 18,257.90 = 5,150.31 : x
  2. Step 2: Convert to fraction form
    12,170.31/18,257.90 = 5,150.31/x
  3. Step 3: Cross multiply
    12,170.31x = 18,257.90 × 5,150.31
  4. Step 4: Simplify right side
    12,170.31x = 94,033,819.20
  5. Step 5: Solve for x
    x = 94,033,819.20/12,170.31
  6. Step 6: Final answer
    x = 7,726.49

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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.