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Finding the Fourth Proportional to 20,589.42, 30,893.13 and 8,910.30

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Solution

The fourth proportional to 20,589.42, 30,893.13 and 8,910.30 is: 13,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.42 : 30,893.13 = 8,910.30 : x
  2. Step 2: Convert to fraction form
    20,589.42/30,893.13 = 8,910.30/x
  3. Step 3: Cross multiply
    20,589.42x = 30,893.13 × 8,910.30
  4. Step 4: Simplify right side
    20,589.42x = 275,267,056.24
  5. Step 5: Solve for x
    x = 275,267,056.24/20,589.42
  6. Step 6: Final answer
    x = 13,369.34

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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.