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Finding the Fourth Proportional to 3,213.16, 4,819.88 and 1,911.76

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Solution

The fourth proportional to 3,213.16, 4,819.88 and 1,911.76 is: 2,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.16 : 4,819.88 = 1,911.76 : x
  2. Step 2: Convert to fraction form
    3,213.16/4,819.88 = 1,911.76/x
  3. Step 3: Cross multiply
    3,213.16x = 4,819.88 × 1,911.76
  4. Step 4: Simplify right side
    3,213.16x = 9,214,453.79
  5. Step 5: Solve for x
    x = 9,214,453.79/3,213.16
  6. Step 6: Final answer
    x = 2,867.72

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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.