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Finding the Fourth Proportional to 2,550.07, 3,825.42 and 818.74

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Solution

The fourth proportional to 2,550.07, 3,825.42 and 818.74 is: 1,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.07 : 3,825.42 = 818.74 : x
  2. Step 2: Convert to fraction form
    2,550.07/3,825.42 = 818.74/x
  3. Step 3: Cross multiply
    2,550.07x = 3,825.42 × 818.74
  4. Step 4: Simplify right side
    2,550.07x = 3,132,024.37
  5. Step 5: Solve for x
    x = 3,132,024.37/2,550.07
  6. Step 6: Final answer
    x = 1,228.21

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1.5x scale

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.