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Finding the Fourth Proportional to 3,798.42, 5,241.78 and 2,226.21

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Solution

The fourth proportional to 3,798.42, 5,241.78 and 2,226.21 is: 3,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.42 : 5,241.78 = 2,226.21 : x
  2. Step 2: Convert to fraction form
    3,798.42/5,241.78 = 2,226.21/x
  3. Step 3: Cross multiply
    3,798.42x = 5,241.78 × 2,226.21
  4. Step 4: Simplify right side
    3,798.42x = 11,669,303.05
  5. Step 5: Solve for x
    x = 11,669,303.05/3,798.42
  6. Step 6: Final answer
    x = 3,072.15

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1.5x scale

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.