Home / 3,213.92-4,821.23-1,022.14

Finding the Fourth Proportional to 3,213.92, 4,821.23 and 1,022.14

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Solution

The fourth proportional to 3,213.92, 4,821.23 and 1,022.14 is: 1,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.92 : 4,821.23 = 1,022.14 : x
  2. Step 2: Convert to fraction form
    3,213.92/4,821.23 = 1,022.14/x
  3. Step 3: Cross multiply
    3,213.92x = 4,821.23 × 1,022.14
  4. Step 4: Simplify right side
    3,213.92x = 4,927,962.53
  5. Step 5: Solve for x
    x = 4,927,962.53/3,213.92
  6. Step 6: Final answer
    x = 1,533.32

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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.