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Finding the Fourth Proportional to 20,474.64, 30,692.50 and 8,002.66

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Solution

The fourth proportional to 20,474.64, 30,692.50 and 8,002.66 is: 11,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.64 : 30,692.50 = 8,002.66 : x
  2. Step 2: Convert to fraction form
    20,474.64/30,692.50 = 8,002.66/x
  3. Step 3: Cross multiply
    20,474.64x = 30,692.50 × 8,002.66
  4. Step 4: Simplify right side
    20,474.64x = 245,621,642.05
  5. Step 5: Solve for x
    x = 245,621,642.05/20,474.64
  6. Step 6: Final answer
    x = 11,996.38

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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.