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Finding the Fourth Proportional to 20,846.82, 31,249.82 and 13,327.32

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Solution

The fourth proportional to 20,846.82, 31,249.82 and 13,327.32 is: 19,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.82 : 31,249.82 = 13,327.32 : x
  2. Step 2: Convert to fraction form
    20,846.82/31,249.82 = 13,327.32/x
  3. Step 3: Cross multiply
    20,846.82x = 31,249.82 × 13,327.32
  4. Step 4: Simplify right side
    20,846.82x = 416,476,351.08
  5. Step 5: Solve for x
    x = 416,476,351.08/20,846.82
  6. Step 6: Final answer
    x = 19,977.93

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1.5x scale

Why These Related Problems?

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