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Finding the Fourth Proportional to 13,118.67, 19,645.94 and 6,883.97

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Solution

The fourth proportional to 13,118.67, 19,645.94 and 6,883.97 is: 10,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.67 : 19,645.94 = 6,883.97 : x
  2. Step 2: Convert to fraction form
    13,118.67/19,645.94 = 6,883.97/x
  3. Step 3: Cross multiply
    13,118.67x = 19,645.94 × 6,883.97
  4. Step 4: Simplify right side
    13,118.67x = 135,241,980.56
  5. Step 5: Solve for x
    x = 135,241,980.56/13,118.67
  6. Step 6: Final answer
    x = 10,309.12

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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.