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Finding the Fourth Proportional to 23,101.16, 31,879.59 and 13,029.57

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Solution

The fourth proportional to 23,101.16, 31,879.59 and 13,029.57 is: 17,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.16 : 31,879.59 = 13,029.57 : x
  2. Step 2: Convert to fraction form
    23,101.16/31,879.59 = 13,029.57/x
  3. Step 3: Cross multiply
    23,101.16x = 31,879.59 × 13,029.57
  4. Step 4: Simplify right side
    23,101.16x = 415,377,349.48
  5. Step 5: Solve for x
    x = 415,377,349.48/23,101.16
  6. Step 6: Final answer
    x = 17,980.80

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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.