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Finding the Fourth Proportional to 13,997, 20,995.50 and 4,763

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Solution

The fourth proportional to 13,997, 20,995.50 and 4,763 is: 7,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997 : 20,995.50 = 4,763 : x
  2. Step 2: Convert to fraction form
    13,997/20,995.50 = 4,763/x
  3. Step 3: Cross multiply
    13,997x = 20,995.50 × 4,763
  4. Step 4: Simplify right side
    13,997x = 100,001,566.50
  5. Step 5: Solve for x
    x = 100,001,566.50/13,997
  6. Step 6: Final answer
    x = 7,144.50

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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.