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Finding the Fourth Proportional to 3,489.84, 5,226.54 and 2,754.49

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Solution

The fourth proportional to 3,489.84, 5,226.54 and 2,754.49 is: 4,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.84 : 5,226.54 = 2,754.49 : x
  2. Step 2: Convert to fraction form
    3,489.84/5,226.54 = 2,754.49/x
  3. Step 3: Cross multiply
    3,489.84x = 5,226.54 × 2,754.49
  4. Step 4: Simplify right side
    3,489.84x = 14,396,452.16
  5. Step 5: Solve for x
    x = 14,396,452.16/3,489.84
  6. Step 6: Final answer
    x = 4,125.25

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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.