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Finding the Fourth Proportional to 3,297.87, 4,549.41 and 1,971.23

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Solution

The fourth proportional to 3,297.87, 4,549.41 and 1,971.23 is: 2,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.87 : 4,549.41 = 1,971.23 : x
  2. Step 2: Convert to fraction form
    3,297.87/4,549.41 = 1,971.23/x
  3. Step 3: Cross multiply
    3,297.87x = 4,549.41 × 1,971.23
  4. Step 4: Simplify right side
    3,297.87x = 8,967,910.73
  5. Step 5: Solve for x
    x = 8,967,910.73/3,297.87
  6. Step 6: Final answer
    x = 2,719.30

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1.5x scale

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.