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Finding the Fourth Proportional to 38,450.96, 57,676.92 and 12,158

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Solution

The fourth proportional to 38,450.96, 57,676.92 and 12,158 is: 18,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.96 : 57,676.92 = 12,158 : x
  2. Step 2: Convert to fraction form
    38,450.96/57,676.92 = 12,158/x
  3. Step 3: Cross multiply
    38,450.96x = 57,676.92 × 12,158
  4. Step 4: Simplify right side
    38,450.96x = 701,235,993.36
  5. Step 5: Solve for x
    x = 701,235,993.36/38,450.96
  6. Step 6: Final answer
    x = 18,237.15

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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.