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Finding the Fourth Proportional to 3,456.72, 4,770 and 2,197.44

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Solution

The fourth proportional to 3,456.72, 4,770 and 2,197.44 is: 3,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.72 : 4,770 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    3,456.72/4,770 = 2,197.44/x
  3. Step 3: Cross multiply
    3,456.72x = 4,770 × 2,197.44
  4. Step 4: Simplify right side
    3,456.72x = 10,481,788.80
  5. Step 5: Solve for x
    x = 10,481,788.80/3,456.72
  6. Step 6: Final answer
    x = 3,032.29

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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.