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Finding the Fourth Proportional to 13,824, 20,736 and 9,745.92

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Solution

The fourth proportional to 13,824, 20,736 and 9,745.92 is: 14,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 20,736 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    13,824/20,736 = 9,745.92/x
  3. Step 3: Cross multiply
    13,824x = 20,736 × 9,745.92
  4. Step 4: Simplify right side
    13,824x = 202,091,397.12
  5. Step 5: Solve for x
    x = 202,091,397.12/13,824
  6. Step 6: Final answer
    x = 14,618.88

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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.