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Finding the Fourth Proportional to 2,775, 3,829.50 and 1,533

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Solution

The fourth proportional to 2,775, 3,829.50 and 1,533 is: 2,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775 : 3,829.50 = 1,533 : x
  2. Step 2: Convert to fraction form
    2,775/3,829.50 = 1,533/x
  3. Step 3: Cross multiply
    2,775x = 3,829.50 × 1,533
  4. Step 4: Simplify right side
    2,775x = 5,870,623.50
  5. Step 5: Solve for x
    x = 5,870,623.50/2,775
  6. Step 6: Final answer
    x = 2,115.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.