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Finding the Fourth Proportional to 19,584, 27,027.36 and 12,133.44

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Solution

The fourth proportional to 19,584, 27,027.36 and 12,133.44 is: 16,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584 : 27,027.36 = 12,133.44 : x
  2. Step 2: Convert to fraction form
    19,584/27,027.36 = 12,133.44/x
  3. Step 3: Cross multiply
    19,584x = 27,027.36 × 12,133.44
  4. Step 4: Simplify right side
    19,584x = 327,934,850.92
  5. Step 5: Solve for x
    x = 327,934,850.92/19,584
  6. Step 6: Final answer
    x = 16,745.04

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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.