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Finding the Fourth Proportional to 39,576, 54,614.88 and 21,912

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Solution

The fourth proportional to 39,576, 54,614.88 and 21,912 is: 30,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576 : 54,614.88 = 21,912 : x
  2. Step 2: Convert to fraction form
    39,576/54,614.88 = 21,912/x
  3. Step 3: Cross multiply
    39,576x = 54,614.88 × 21,912
  4. Step 4: Simplify right side
    39,576x = 1,196,721,250.56
  5. Step 5: Solve for x
    x = 1,196,721,250.56/39,576
  6. Step 6: Final answer
    x = 30,238.56

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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.