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Finding the Fourth Proportional to 3,305.14, 4,923.26 and 3,129.84

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Solution

The fourth proportional to 3,305.14, 4,923.26 and 3,129.84 is: 4,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.14 : 4,923.26 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    3,305.14/4,923.26 = 3,129.84/x
  3. Step 3: Cross multiply
    3,305.14x = 4,923.26 × 3,129.84
  4. Step 4: Simplify right side
    3,305.14x = 15,409,016.08
  5. Step 5: Solve for x
    x = 15,409,016.08/3,305.14
  6. Step 6: Final answer
    x = 4,662.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.