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Finding the Fourth Proportional to 13,743, 20,616.12 and 4,509

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Solution

The fourth proportional to 13,743, 20,616.12 and 4,509 is: 6,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743 : 20,616.12 = 4,509 : x
  2. Step 2: Convert to fraction form
    13,743/20,616.12 = 4,509/x
  3. Step 3: Cross multiply
    13,743x = 20,616.12 × 4,509
  4. Step 4: Simplify right side
    13,743x = 92,958,085.08
  5. Step 5: Solve for x
    x = 92,958,085.08/13,743
  6. Step 6: Final answer
    x = 6,764.03

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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.