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Finding the Fourth Proportional to 2,963.81, 4,089.97 and 1,619.41

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Solution

The fourth proportional to 2,963.81, 4,089.97 and 1,619.41 is: 2,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.81 : 4,089.97 = 1,619.41 : x
  2. Step 2: Convert to fraction form
    2,963.81/4,089.97 = 1,619.41/x
  3. Step 3: Cross multiply
    2,963.81x = 4,089.97 × 1,619.41
  4. Step 4: Simplify right side
    2,963.81x = 6,623,324.04
  5. Step 5: Solve for x
    x = 6,623,324.04/2,963.81
  6. Step 6: Final answer
    x = 2,234.74

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Why These Related Problems?

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