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Finding the Fourth Proportional to 31,745.88, 43,813.77 and 19,650.24

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Solution

The fourth proportional to 31,745.88, 43,813.77 and 19,650.24 is: 27,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.88 : 43,813.77 = 19,650.24 : x
  2. Step 2: Convert to fraction form
    31,745.88/43,813.77 = 19,650.24/x
  3. Step 3: Cross multiply
    31,745.88x = 43,813.77 × 19,650.24
  4. Step 4: Simplify right side
    31,745.88x = 860,951,022.12
  5. Step 5: Solve for x
    x = 860,951,022.12/31,745.88
  6. Step 6: Final answer
    x = 27,120.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.