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Finding the Fourth Proportional to 3,714.56, 5,578.78 and 3,269.99

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Solution

The fourth proportional to 3,714.56, 5,578.78 and 3,269.99 is: 4,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.56 : 5,578.78 = 3,269.99 : x
  2. Step 2: Convert to fraction form
    3,714.56/5,578.78 = 3,269.99/x
  3. Step 3: Cross multiply
    3,714.56x = 5,578.78 × 3,269.99
  4. Step 4: Simplify right side
    3,714.56x = 18,242,540.20
  5. Step 5: Solve for x
    x = 18,242,540.20/3,714.56
  6. Step 6: Final answer
    x = 4,911.09

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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.