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Finding the Fourth Proportional to 39,938, 55,114.44 and 22,274

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Solution

The fourth proportional to 39,938, 55,114.44 and 22,274 is: 30,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,938 : 55,114.44 = 22,274 : x
  2. Step 2: Convert to fraction form
    39,938/55,114.44 = 22,274/x
  3. Step 3: Cross multiply
    39,938x = 55,114.44 × 22,274
  4. Step 4: Simplify right side
    39,938x = 1,227,619,036.56
  5. Step 5: Solve for x
    x = 1,227,619,036.56/39,938
  6. Step 6: Final answer
    x = 30,738.12

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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.