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Finding the Fourth Proportional to 13,719, 18,936.54 and 8,751

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Solution

The fourth proportional to 13,719, 18,936.54 and 8,751 is: 12,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719 : 18,936.54 = 8,751 : x
  2. Step 2: Convert to fraction form
    13,719/18,936.54 = 8,751/x
  3. Step 3: Cross multiply
    13,719x = 18,936.54 × 8,751
  4. Step 4: Simplify right side
    13,719x = 165,713,661.54
  5. Step 5: Solve for x
    x = 165,713,661.54/13,719
  6. Step 6: Final answer
    x = 12,079.14

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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.