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Finding the Fourth Proportional to 13,418.20, 20,109 and 5,093.76

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Solution

The fourth proportional to 13,418.20, 20,109 and 5,093.76 is: 7,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.20 : 20,109 = 5,093.76 : x
  2. Step 2: Convert to fraction form
    13,418.20/20,109 = 5,093.76/x
  3. Step 3: Cross multiply
    13,418.20x = 20,109 × 5,093.76
  4. Step 4: Simplify right side
    13,418.20x = 102,430,419.84
  5. Step 5: Solve for x
    x = 102,430,419.84/13,418.20
  6. Step 6: Final answer
    x = 7,633.69

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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.