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Finding the Fourth Proportional to 15,077, 20,806.26 and 9,189

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Solution

The fourth proportional to 15,077, 20,806.26 and 9,189 is: 12,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077 : 20,806.26 = 9,189 : x
  2. Step 2: Convert to fraction form
    15,077/20,806.26 = 9,189/x
  3. Step 3: Cross multiply
    15,077x = 20,806.26 × 9,189
  4. Step 4: Simplify right side
    15,077x = 191,188,723.14
  5. Step 5: Solve for x
    x = 191,188,723.14/15,077
  6. Step 6: Final answer
    x = 12,680.82

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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.