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Finding the Fourth Proportional to 20,679, 30,993.80 and 7,524.21

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Solution

The fourth proportional to 20,679, 30,993.80 and 7,524.21 is: 11,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679 : 30,993.80 = 7,524.21 : x
  2. Step 2: Convert to fraction form
    20,679/30,993.80 = 7,524.21/x
  3. Step 3: Cross multiply
    20,679x = 30,993.80 × 7,524.21
  4. Step 4: Simplify right side
    20,679x = 233,203,822.28
  5. Step 5: Solve for x
    x = 233,203,822.28/20,679
  6. Step 6: Final answer
    x = 11,277.33

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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.