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Finding the Fourth Proportional to 23,101.44, 31,879.97 and 13,029.86

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Solution

The fourth proportional to 23,101.44, 31,879.97 and 13,029.86 is: 17,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.44 : 31,879.97 = 13,029.86 : x
  2. Step 2: Convert to fraction form
    23,101.44/31,879.97 = 13,029.86/x
  3. Step 3: Cross multiply
    23,101.44x = 31,879.97 × 13,029.86
  4. Step 4: Simplify right side
    23,101.44x = 415,391,321.36
  5. Step 5: Solve for x
    x = 415,391,321.36/23,101.44
  6. Step 6: Final answer
    x = 17,981.19

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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.