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Finding the Fourth Proportional to 14,850, 20,493 and 8,227.28

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Solution

The fourth proportional to 14,850, 20,493 and 8,227.28 is: 11,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850 : 20,493 = 8,227.28 : x
  2. Step 2: Convert to fraction form
    14,850/20,493 = 8,227.28/x
  3. Step 3: Cross multiply
    14,850x = 20,493 × 8,227.28
  4. Step 4: Simplify right side
    14,850x = 168,601,649.04
  5. Step 5: Solve for x
    x = 168,601,649.04/14,850
  6. Step 6: Final answer
    x = 11,353.65

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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.