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Finding the Fourth Proportional to 2,533.08, 3,800.12 and 1,072.22

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Solution

The fourth proportional to 2,533.08, 3,800.12 and 1,072.22 is: 1,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.08 : 3,800.12 = 1,072.22 : x
  2. Step 2: Convert to fraction form
    2,533.08/3,800.12 = 1,072.22/x
  3. Step 3: Cross multiply
    2,533.08x = 3,800.12 × 1,072.22
  4. Step 4: Simplify right side
    2,533.08x = 4,074,564.67
  5. Step 5: Solve for x
    x = 4,074,564.67/2,533.08
  6. Step 6: Final answer
    x = 1,608.54

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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.