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Finding the Fourth Proportional to 38,923, 53,713.80 and 22,156

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Solution

The fourth proportional to 38,923, 53,713.80 and 22,156 is: 30,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923 : 53,713.80 = 22,156 : x
  2. Step 2: Convert to fraction form
    38,923/53,713.80 = 22,156/x
  3. Step 3: Cross multiply
    38,923x = 53,713.80 × 22,156
  4. Step 4: Simplify right side
    38,923x = 1,190,082,952.80
  5. Step 5: Solve for x
    x = 1,190,082,952.80/38,923
  6. Step 6: Final answer
    x = 30,575.31

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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.