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Finding the Fourth Proportional to 6,401.81, 9,602.21 and 2,241.38

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Solution

The fourth proportional to 6,401.81, 9,602.21 and 2,241.38 is: 3,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.81 : 9,602.21 = 2,241.38 : x
  2. Step 2: Convert to fraction form
    6,401.81/9,602.21 = 2,241.38/x
  3. Step 3: Cross multiply
    6,401.81x = 9,602.21 × 2,241.38
  4. Step 4: Simplify right side
    6,401.81x = 21,522,231.06
  5. Step 5: Solve for x
    x = 21,522,231.06/6,401.81
  6. Step 6: Final answer
    x = 3,361.90

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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.