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Finding the Fourth Proportional to 13,997.68, 20,995.81 and 5,231.90

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Solution

The fourth proportional to 13,997.68, 20,995.81 and 5,231.90 is: 7,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.68 : 20,995.81 = 5,231.90 : x
  2. Step 2: Convert to fraction form
    13,997.68/20,995.81 = 5,231.90/x
  3. Step 3: Cross multiply
    13,997.68x = 20,995.81 × 5,231.90
  4. Step 4: Simplify right side
    13,997.68x = 109,848,017.75
  5. Step 5: Solve for x
    x = 109,848,017.75/13,997.68
  6. Step 6: Final answer
    x = 7,847.59

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1.5x scale

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.