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Finding the Fourth Proportional to 13,183.75, 18,193.58 and 8,992

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Solution

The fourth proportional to 13,183.75, 18,193.58 and 8,992 is: 12,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.75 : 18,193.58 = 8,992 : x
  2. Step 2: Convert to fraction form
    13,183.75/18,193.58 = 8,992/x
  3. Step 3: Cross multiply
    13,183.75x = 18,193.58 × 8,992
  4. Step 4: Simplify right side
    13,183.75x = 163,596,671.36
  5. Step 5: Solve for x
    x = 163,596,671.36/13,183.75
  6. Step 6: Final answer
    x = 12,408.96

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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.