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Finding the Fourth Proportional to 3,194.84, 4,401.34 and 3,047.22

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Solution

The fourth proportional to 3,194.84, 4,401.34 and 3,047.22 is: 4,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.84 : 4,401.34 = 3,047.22 : x
  2. Step 2: Convert to fraction form
    3,194.84/4,401.34 = 3,047.22/x
  3. Step 3: Cross multiply
    3,194.84x = 4,401.34 × 3,047.22
  4. Step 4: Simplify right side
    3,194.84x = 13,411,843.66
  5. Step 5: Solve for x
    x = 13,411,843.66/3,194.84
  6. Step 6: Final answer
    x = 4,197.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.