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Finding the Fourth Proportional to 22,530, 33,810.36 and 7,938

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Solution

The fourth proportional to 22,530, 33,810.36 and 7,938 is: 11,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530 : 33,810.36 = 7,938 : x
  2. Step 2: Convert to fraction form
    22,530/33,810.36 = 7,938/x
  3. Step 3: Cross multiply
    22,530x = 33,810.36 × 7,938
  4. Step 4: Simplify right side
    22,530x = 268,386,637.68
  5. Step 5: Solve for x
    x = 268,386,637.68/22,530
  6. Step 6: Final answer
    x = 11,912.41

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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.