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Finding the Fourth Proportional to 12,858.44, 17,744.09 and 8,083.29

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Solution

The fourth proportional to 12,858.44, 17,744.09 and 8,083.29 is: 11,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.44 : 17,744.09 = 8,083.29 : x
  2. Step 2: Convert to fraction form
    12,858.44/17,744.09 = 8,083.29/x
  3. Step 3: Cross multiply
    12,858.44x = 17,744.09 × 8,083.29
  4. Step 4: Simplify right side
    12,858.44x = 143,430,584.84
  5. Step 5: Solve for x
    x = 143,430,584.84/12,858.44
  6. Step 6: Final answer
    x = 11,154.59

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1.5x scale

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.