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Finding the Fourth Proportional to 13,671, 20,509.20 and 4,906.56

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Solution

The fourth proportional to 13,671, 20,509.20 and 4,906.56 is: 7,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 20,509.20 = 4,906.56 : x
  2. Step 2: Convert to fraction form
    13,671/20,509.20 = 4,906.56/x
  3. Step 3: Cross multiply
    13,671x = 20,509.20 × 4,906.56
  4. Step 4: Simplify right side
    13,671x = 100,629,620.35
  5. Step 5: Solve for x
    x = 100,629,620.35/13,671
  6. Step 6: Final answer
    x = 7,360.81

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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.