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Finding the Fourth Proportional to 30,164.44, 41,609.80 and 18,967

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Solution

The fourth proportional to 30,164.44, 41,609.80 and 18,967 is: 26,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.44 : 41,609.80 = 18,967 : x
  2. Step 2: Convert to fraction form
    30,164.44/41,609.80 = 18,967/x
  3. Step 3: Cross multiply
    30,164.44x = 41,609.80 × 18,967
  4. Step 4: Simplify right side
    30,164.44x = 789,213,076.60
  5. Step 5: Solve for x
    x = 789,213,076.60/30,164.44
  6. Step 6: Final answer
    x = 26,163.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.