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Finding the Fourth Proportional to 20,408.50, 30,611.31 and 10,016.50

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Solution

The fourth proportional to 20,408.50, 30,611.31 and 10,016.50 is: 15,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.50 : 30,611.31 = 10,016.50 : x
  2. Step 2: Convert to fraction form
    20,408.50/30,611.31 = 10,016.50/x
  3. Step 3: Cross multiply
    20,408.50x = 30,611.31 × 10,016.50
  4. Step 4: Simplify right side
    20,408.50x = 306,618,186.62
  5. Step 5: Solve for x
    x = 306,618,186.62/20,408.50
  6. Step 6: Final answer
    x = 15,024.04

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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.