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Finding the Fourth Proportional to 3,096.24, 4,643.68 and 905.08

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Solution

The fourth proportional to 3,096.24, 4,643.68 and 905.08 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.24 : 4,643.68 = 905.08 : x
  2. Step 2: Convert to fraction form
    3,096.24/4,643.68 = 905.08/x
  3. Step 3: Cross multiply
    3,096.24x = 4,643.68 × 905.08
  4. Step 4: Simplify right side
    3,096.24x = 4,202,901.89
  5. Step 5: Solve for x
    x = 4,202,901.89/3,096.24
  6. Step 6: Final answer
    x = 1,357.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.