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Finding the Fourth Proportional to 27,649.22, 38,157.89 and 17,039.57

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Solution

The fourth proportional to 27,649.22, 38,157.89 and 17,039.57 is: 23,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.22 : 38,157.89 = 17,039.57 : x
  2. Step 2: Convert to fraction form
    27,649.22/38,157.89 = 17,039.57/x
  3. Step 3: Cross multiply
    27,649.22x = 38,157.89 × 17,039.57
  4. Step 4: Simplify right side
    27,649.22x = 650,193,761.72
  5. Step 5: Solve for x
    x = 650,193,761.72/27,649.22
  6. Step 6: Final answer
    x = 23,515.81

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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.