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Finding the Fourth Proportional to 2,550.16, 3,825.24 and 820.00

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Solution

The fourth proportional to 2,550.16, 3,825.24 and 820.00 is: 1,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.16 : 3,825.24 = 820.00 : x
  2. Step 2: Convert to fraction form
    2,550.16/3,825.24 = 820.00/x
  3. Step 3: Cross multiply
    2,550.16x = 3,825.24 × 820.00
  4. Step 4: Simplify right side
    2,550.16x = 3,136,687.24
  5. Step 5: Solve for x
    x = 3,136,687.24/2,550.16
  6. Step 6: Final answer
    x = 1,230.00

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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.