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Finding the Fourth Proportional to 13,978, 20,967 and 3,589.75

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Solution

The fourth proportional to 13,978, 20,967 and 3,589.75 is: 5,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978 : 20,967 = 3,589.75 : x
  2. Step 2: Convert to fraction form
    13,978/20,967 = 3,589.75/x
  3. Step 3: Cross multiply
    13,978x = 20,967 × 3,589.75
  4. Step 4: Simplify right side
    13,978x = 75,266,288.25
  5. Step 5: Solve for x
    x = 75,266,288.25/13,978
  6. Step 6: Final answer
    x = 5,384.63

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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.