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Finding the Fourth Proportional to 3,213.65, 4,819.53 and 1,364.75

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Solution

The fourth proportional to 3,213.65, 4,819.53 and 1,364.75 is: 2,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.65 : 4,819.53 = 1,364.75 : x
  2. Step 2: Convert to fraction form
    3,213.65/4,819.53 = 1,364.75/x
  3. Step 3: Cross multiply
    3,213.65x = 4,819.53 × 1,364.75
  4. Step 4: Simplify right side
    3,213.65x = 6,577,453.57
  5. Step 5: Solve for x
    x = 6,577,453.57/3,213.65
  6. Step 6: Final answer
    x = 2,046.72

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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.