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Finding the Fourth Proportional to 3,551.46, 5,346.38 and 3,194.25

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Solution

The fourth proportional to 3,551.46, 5,346.38 and 3,194.25 is: 4,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.46 : 5,346.38 = 3,194.25 : x
  2. Step 2: Convert to fraction form
    3,551.46/5,346.38 = 3,194.25/x
  3. Step 3: Cross multiply
    3,551.46x = 5,346.38 × 3,194.25
  4. Step 4: Simplify right side
    3,551.46x = 17,077,658.34
  5. Step 5: Solve for x
    x = 17,077,658.34/3,551.46
  6. Step 6: Final answer
    x = 4,808.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.