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Finding the Fourth Proportional to 18,661.31, 27,999.26 and 6,971.80

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Solution

The fourth proportional to 18,661.31, 27,999.26 and 6,971.80 is: 10,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.31 : 27,999.26 = 6,971.80 : x
  2. Step 2: Convert to fraction form
    18,661.31/27,999.26 = 6,971.80/x
  3. Step 3: Cross multiply
    18,661.31x = 27,999.26 × 6,971.80
  4. Step 4: Simplify right side
    18,661.31x = 195,205,240.87
  5. Step 5: Solve for x
    x = 195,205,240.87/18,661.31
  6. Step 6: Final answer
    x = 10,460.43

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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.