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Finding the Fourth Proportional to 39,728, 54,826.08 and 21,824.68

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Solution

The fourth proportional to 39,728, 54,826.08 and 21,824.68 is: 30,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 54,826.08 = 21,824.68 : x
  2. Step 2: Convert to fraction form
    39,728/54,826.08 = 21,824.68/x
  3. Step 3: Cross multiply
    39,728x = 54,826.08 × 21,824.68
  4. Step 4: Simplify right side
    39,728x = 1,196,561,651.65
  5. Step 5: Solve for x
    x = 1,196,561,651.65/39,728
  6. Step 6: Final answer
    x = 30,118.85

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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.