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Finding the Fourth Proportional to 13,705.69, 18,914.01 and 8,040.54

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Solution

The fourth proportional to 13,705.69, 18,914.01 and 8,040.54 is: 11,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.69 : 18,914.01 = 8,040.54 : x
  2. Step 2: Convert to fraction form
    13,705.69/18,914.01 = 8,040.54/x
  3. Step 3: Cross multiply
    13,705.69x = 18,914.01 × 8,040.54
  4. Step 4: Simplify right side
    13,705.69x = 152,078,767.96
  5. Step 5: Solve for x
    x = 152,078,767.96/13,705.69
  6. Step 6: Final answer
    x = 11,096.03

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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.