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Finding the Fourth Proportional to 38,451.96, 57,678.42 and 12,159

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Solution

The fourth proportional to 38,451.96, 57,678.42 and 12,159 is: 18,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.96 : 57,678.42 = 12,159 : x
  2. Step 2: Convert to fraction form
    38,451.96/57,678.42 = 12,159/x
  3. Step 3: Cross multiply
    38,451.96x = 57,678.42 × 12,159
  4. Step 4: Simplify right side
    38,451.96x = 701,311,908.78
  5. Step 5: Solve for x
    x = 701,311,908.78/38,451.96
  6. Step 6: Final answer
    x = 18,238.65

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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.