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Finding the Fourth Proportional to 26,431.75, 39,647.63 and 7,963.75

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Solution

The fourth proportional to 26,431.75, 39,647.63 and 7,963.75 is: 11,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.75 : 39,647.63 = 7,963.75 : x
  2. Step 2: Convert to fraction form
    26,431.75/39,647.63 = 7,963.75/x
  3. Step 3: Cross multiply
    26,431.75x = 39,647.63 × 7,963.75
  4. Step 4: Simplify right side
    26,431.75x = 315,743,813.41
  5. Step 5: Solve for x
    x = 315,743,813.41/26,431.75
  6. Step 6: Final answer
    x = 11,945.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.