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Finding the Fourth Proportional to 28,793.51, 43,171.80 and 12,149

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Solution

The fourth proportional to 28,793.51, 43,171.80 and 12,149 is: 18,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,793.51 : 43,171.80 = 12,149 : x
  2. Step 2: Convert to fraction form
    28,793.51/43,171.80 = 12,149/x
  3. Step 3: Cross multiply
    28,793.51x = 43,171.80 × 12,149
  4. Step 4: Simplify right side
    28,793.51x = 524,494,198.20
  5. Step 5: Solve for x
    x = 524,494,198.20/28,793.51
  6. Step 6: Final answer
    x = 18,215.71

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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.