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Finding the Fourth Proportional to 11,164.50, 16,751.34 and 4,921.20

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Solution

The fourth proportional to 11,164.50, 16,751.34 and 4,921.20 is: 7,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.50 : 16,751.34 = 4,921.20 : x
  2. Step 2: Convert to fraction form
    11,164.50/16,751.34 = 4,921.20/x
  3. Step 3: Cross multiply
    11,164.50x = 16,751.34 × 4,921.20
  4. Step 4: Simplify right side
    11,164.50x = 82,436,694.41
  5. Step 5: Solve for x
    x = 82,436,694.41/11,164.50
  6. Step 6: Final answer
    x = 7,383.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.