Home / 3,213.10-4,819.63-1,022

Finding the Fourth Proportional to 3,213.10, 4,819.63 and 1,022

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Solution

The fourth proportional to 3,213.10, 4,819.63 and 1,022 is: 1,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.10 : 4,819.63 = 1,022 : x
  2. Step 2: Convert to fraction form
    3,213.10/4,819.63 = 1,022/x
  3. Step 3: Cross multiply
    3,213.10x = 4,819.63 × 1,022
  4. Step 4: Simplify right side
    3,213.10x = 4,925,661.86
  5. Step 5: Solve for x
    x = 4,925,661.86/3,213.10
  6. Step 6: Final answer
    x = 1,532.99

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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.