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Finding the Fourth Proportional to 3,825.11, 5,738.13 and 1,228.11

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Solution

The fourth proportional to 3,825.11, 5,738.13 and 1,228.11 is: 1,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.11 : 5,738.13 = 1,228.11 : x
  2. Step 2: Convert to fraction form
    3,825.11/5,738.13 = 1,228.11/x
  3. Step 3: Cross multiply
    3,825.11x = 5,738.13 × 1,228.11
  4. Step 4: Simplify right side
    3,825.11x = 7,047,054.83
  5. Step 5: Solve for x
    x = 7,047,054.83/3,825.11
  6. Step 6: Final answer
    x = 1,842.32

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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.