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Finding the Fourth Proportional to 36,960, 51,005.10 and 20,193

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Solution

The fourth proportional to 36,960, 51,005.10 and 20,193 is: 27,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 51,005.10 = 20,193 : x
  2. Step 2: Convert to fraction form
    36,960/51,005.10 = 20,193/x
  3. Step 3: Cross multiply
    36,960x = 51,005.10 × 20,193
  4. Step 4: Simplify right side
    36,960x = 1,029,945,984.30
  5. Step 5: Solve for x
    x = 1,029,945,984.30/36,960
  6. Step 6: Final answer
    x = 27,866.50

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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.