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Finding the Fourth Proportional to 18,128, 24,993.48 and 11,743.30

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Solution

The fourth proportional to 18,128, 24,993.48 and 11,743.30 is: 16,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,128 : 24,993.48 = 11,743.30 : x
  2. Step 2: Convert to fraction form
    18,128/24,993.48 = 11,743.30/x
  3. Step 3: Cross multiply
    18,128x = 24,993.48 × 11,743.30
  4. Step 4: Simplify right side
    18,128x = 293,505,933.68
  5. Step 5: Solve for x
    x = 293,505,933.68/18,128
  6. Step 6: Final answer
    x = 16,190.75

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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.