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Finding the Fourth Proportional to 20,245.41, 30,369.74 and 7,771.41

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Solution

The fourth proportional to 20,245.41, 30,369.74 and 7,771.41 is: 11,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.41 : 30,369.74 = 7,771.41 : x
  2. Step 2: Convert to fraction form
    20,245.41/30,369.74 = 7,771.41/x
  3. Step 3: Cross multiply
    20,245.41x = 30,369.74 × 7,771.41
  4. Step 4: Simplify right side
    20,245.41x = 236,015,662.28
  5. Step 5: Solve for x
    x = 236,015,662.28/20,245.41
  6. Step 6: Final answer
    x = 11,657.74

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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.