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Finding the Fourth Proportional to 13,600, 20,401.86 and 4,832.56

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Solution

The fourth proportional to 13,600, 20,401.86 and 4,832.56 is: 7,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600 : 20,401.86 = 4,832.56 : x
  2. Step 2: Convert to fraction form
    13,600/20,401.86 = 4,832.56/x
  3. Step 3: Cross multiply
    13,600x = 20,401.86 × 4,832.56
  4. Step 4: Simplify right side
    13,600x = 98,593,212.56
  5. Step 5: Solve for x
    x = 98,593,212.56/13,600
  6. Step 6: Final answer
    x = 7,249.50

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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.