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Finding the Fourth Proportional to 3,305, 4,958.22 and 1,253

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Solution

The fourth proportional to 3,305, 4,958.22 and 1,253 is: 1,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305 : 4,958.22 = 1,253 : x
  2. Step 2: Convert to fraction form
    3,305/4,958.22 = 1,253/x
  3. Step 3: Cross multiply
    3,305x = 4,958.22 × 1,253
  4. Step 4: Simplify right side
    3,305x = 6,212,649.66
  5. Step 5: Solve for x
    x = 6,212,649.66/3,305
  6. Step 6: Final answer
    x = 1,879.77

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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.