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Finding the Fourth Proportional to 39,596, 54,642.64 and 21,932

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Solution

The fourth proportional to 39,596, 54,642.64 and 21,932 is: 30,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,596 : 54,642.64 = 21,932 : x
  2. Step 2: Convert to fraction form
    39,596/54,642.64 = 21,932/x
  3. Step 3: Cross multiply
    39,596x = 54,642.64 × 21,932
  4. Step 4: Simplify right side
    39,596x = 1,198,422,380.48
  5. Step 5: Solve for x
    x = 1,198,422,380.48/39,596
  6. Step 6: Final answer
    x = 30,266.25

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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.