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Finding the Fourth Proportional to 13,705.07, 18,906.82 and 8,040.13

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Solution

The fourth proportional to 13,705.07, 18,906.82 and 8,040.13 is: 11,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.07 : 18,906.82 = 8,040.13 : x
  2. Step 2: Convert to fraction form
    13,705.07/18,906.82 = 8,040.13/x
  3. Step 3: Cross multiply
    13,705.07x = 18,906.82 × 8,040.13
  4. Step 4: Simplify right side
    13,705.07x = 152,013,223.32
  5. Step 5: Solve for x
    x = 152,013,223.32/13,705.07
  6. Step 6: Final answer
    x = 11,091.76

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