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Finding the Fourth Proportional to 13,616.80, 20,408.16 and 7,376.80

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Solution

The fourth proportional to 13,616.80, 20,408.16 and 7,376.80 is: 11,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.80 : 20,408.16 = 7,376.80 : x
  2. Step 2: Convert to fraction form
    13,616.80/20,408.16 = 7,376.80/x
  3. Step 3: Cross multiply
    13,616.80x = 20,408.16 × 7,376.80
  4. Step 4: Simplify right side
    13,616.80x = 150,546,914.69
  5. Step 5: Solve for x
    x = 150,546,914.69/13,616.80
  6. Step 6: Final answer
    x = 11,055.97

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1.5x scale

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.