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Finding the Fourth Proportional to 3,212.53, 4,819.53 and 1,021.39

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Solution

The fourth proportional to 3,212.53, 4,819.53 and 1,021.39 is: 1,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.53 : 4,819.53 = 1,021.39 : x
  2. Step 2: Convert to fraction form
    3,212.53/4,819.53 = 1,021.39/x
  3. Step 3: Cross multiply
    3,212.53x = 4,819.53 × 1,021.39
  4. Step 4: Simplify right side
    3,212.53x = 4,922,619.75
  5. Step 5: Solve for x
    x = 4,922,619.75/3,212.53
  6. Step 6: Final answer
    x = 1,532.32

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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.