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Finding the Fourth Proportional to 14,999, 20,698.62 and 8,375

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Solution

The fourth proportional to 14,999, 20,698.62 and 8,375 is: 11,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999 : 20,698.62 = 8,375 : x
  2. Step 2: Convert to fraction form
    14,999/20,698.62 = 8,375/x
  3. Step 3: Cross multiply
    14,999x = 20,698.62 × 8,375
  4. Step 4: Simplify right side
    14,999x = 173,350,942.50
  5. Step 5: Solve for x
    x = 173,350,942.50/14,999
  6. Step 6: Final answer
    x = 11,557.50

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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.