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Finding the Fourth Proportional to 3,212.16, 4,818 and 1,912.50

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Solution

The fourth proportional to 3,212.16, 4,818 and 1,912.50 is: 2,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 4,818 = 1,912.50 : x
  2. Step 2: Convert to fraction form
    3,212.16/4,818 = 1,912.50/x
  3. Step 3: Cross multiply
    3,212.16x = 4,818 × 1,912.50
  4. Step 4: Simplify right side
    3,212.16x = 9,214,425
  5. Step 5: Solve for x
    x = 9,214,425/3,212.16
  6. Step 6: Final answer
    x = 2,868.61

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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.