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Finding the Fourth Proportional to 3,205.78, 4,805.43 and 1,255.30

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Solution

The fourth proportional to 3,205.78, 4,805.43 and 1,255.30 is: 1,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.78 : 4,805.43 = 1,255.30 : x
  2. Step 2: Convert to fraction form
    3,205.78/4,805.43 = 1,255.30/x
  3. Step 3: Cross multiply
    3,205.78x = 4,805.43 × 1,255.30
  4. Step 4: Simplify right side
    3,205.78x = 6,032,256.28
  5. Step 5: Solve for x
    x = 6,032,256.28/3,205.78
  6. Step 6: Final answer
    x = 1,881.68

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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.