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Finding the Fourth Proportional to 3,227.52, 4,453.68 and 1,830

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Solution

The fourth proportional to 3,227.52, 4,453.68 and 1,830 is: 2,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.52 : 4,453.68 = 1,830 : x
  2. Step 2: Convert to fraction form
    3,227.52/4,453.68 = 1,830/x
  3. Step 3: Cross multiply
    3,227.52x = 4,453.68 × 1,830
  4. Step 4: Simplify right side
    3,227.52x = 8,150,234.40
  5. Step 5: Solve for x
    x = 8,150,234.40/3,227.52
  6. Step 6: Final answer
    x = 2,525.23

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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.