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Finding the Fourth Proportional to 18,198, 25,112.63 and 10,239.75

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Solution

The fourth proportional to 18,198, 25,112.63 and 10,239.75 is: 14,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198 : 25,112.63 = 10,239.75 : x
  2. Step 2: Convert to fraction form
    18,198/25,112.63 = 10,239.75/x
  3. Step 3: Cross multiply
    18,198x = 25,112.63 × 10,239.75
  4. Step 4: Simplify right side
    18,198x = 257,147,078.64
  5. Step 5: Solve for x
    x = 257,147,078.64/18,198
  6. Step 6: Final answer
    x = 14,130.51

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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.