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Finding the Fourth Proportional to 2,963.44, 4,446.78 and 1,665.28

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Solution

The fourth proportional to 2,963.44, 4,446.78 and 1,665.28 is: 2,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.44 : 4,446.78 = 1,665.28 : x
  2. Step 2: Convert to fraction form
    2,963.44/4,446.78 = 1,665.28/x
  3. Step 3: Cross multiply
    2,963.44x = 4,446.78 × 1,665.28
  4. Step 4: Simplify right side
    2,963.44x = 7,405,133.80
  5. Step 5: Solve for x
    x = 7,405,133.80/2,963.44
  6. Step 6: Final answer
    x = 2,498.83

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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.