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Finding the Fourth Proportional to 21,249.41, 31,873.99 and 5,454.41

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Solution

The fourth proportional to 21,249.41, 31,873.99 and 5,454.41 is: 8,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.41 : 31,873.99 = 5,454.41 : x
  2. Step 2: Convert to fraction form
    21,249.41/31,873.99 = 5,454.41/x
  3. Step 3: Cross multiply
    21,249.41x = 31,873.99 × 5,454.41
  4. Step 4: Simplify right side
    21,249.41x = 173,853,809.80
  5. Step 5: Solve for x
    x = 173,853,809.80/21,249.41
  6. Step 6: Final answer
    x = 8,181.58

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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.