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Finding the Fourth Proportional to 13,764, 18,998.64 and 8,796

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Solution

The fourth proportional to 13,764, 18,998.64 and 8,796 is: 12,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 18,998.64 = 8,796 : x
  2. Step 2: Convert to fraction form
    13,764/18,998.64 = 8,796/x
  3. Step 3: Cross multiply
    13,764x = 18,998.64 × 8,796
  4. Step 4: Simplify right side
    13,764x = 167,112,037.44
  5. Step 5: Solve for x
    x = 167,112,037.44/13,764
  6. Step 6: Final answer
    x = 12,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.