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Finding the Fourth Proportional to 3,211.84, 4,432.49 and 2,512

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Solution

The fourth proportional to 3,211.84, 4,432.49 and 2,512 is: 3,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.84 : 4,432.49 = 2,512 : x
  2. Step 2: Convert to fraction form
    3,211.84/4,432.49 = 2,512/x
  3. Step 3: Cross multiply
    3,211.84x = 4,432.49 × 2,512
  4. Step 4: Simplify right side
    3,211.84x = 11,134,414.88
  5. Step 5: Solve for x
    x = 11,134,414.88/3,211.84
  6. Step 6: Final answer
    x = 3,466.68

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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.