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Finding the Fourth Proportional to 13,077, 18,046.26 and 7,189

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Solution

The fourth proportional to 13,077, 18,046.26 and 7,189 is: 9,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 18,046.26 = 7,189 : x
  2. Step 2: Convert to fraction form
    13,077/18,046.26 = 7,189/x
  3. Step 3: Cross multiply
    13,077x = 18,046.26 × 7,189
  4. Step 4: Simplify right side
    13,077x = 129,734,563.14
  5. Step 5: Solve for x
    x = 129,734,563.14/13,077
  6. Step 6: Final answer
    x = 9,920.82

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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.