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Finding the Fourth Proportional to 3,274.67, 4,489.57 and 3,215.44

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Solution

The fourth proportional to 3,274.67, 4,489.57 and 3,215.44 is: 4,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.67 : 4,489.57 = 3,215.44 : x
  2. Step 2: Convert to fraction form
    3,274.67/4,489.57 = 3,215.44/x
  3. Step 3: Cross multiply
    3,274.67x = 4,489.57 × 3,215.44
  4. Step 4: Simplify right side
    3,274.67x = 14,435,920.51
  5. Step 5: Solve for x
    x = 14,435,920.51/3,274.67
  6. Step 6: Final answer
    x = 4,408.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.