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Finding the Fourth Proportional to 20,163.25, 30,245.01 and 6,312.25

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Solution

The fourth proportional to 20,163.25, 30,245.01 and 6,312.25 is: 9,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.25 : 30,245.01 = 6,312.25 : x
  2. Step 2: Convert to fraction form
    20,163.25/30,245.01 = 6,312.25/x
  3. Step 3: Cross multiply
    20,163.25x = 30,245.01 × 6,312.25
  4. Step 4: Simplify right side
    20,163.25x = 190,914,064.37
  5. Step 5: Solve for x
    x = 190,914,064.37/20,163.25
  6. Step 6: Final answer
    x = 9,468.42

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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.