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Finding the Fourth Proportional to 2,798.69, 3,863.50 and 1,619.53

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Solution

The fourth proportional to 2,798.69, 3,863.50 and 1,619.53 is: 2,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.69 : 3,863.50 = 1,619.53 : x
  2. Step 2: Convert to fraction form
    2,798.69/3,863.50 = 1,619.53/x
  3. Step 3: Cross multiply
    2,798.69x = 3,863.50 × 1,619.53
  4. Step 4: Simplify right side
    2,798.69x = 6,257,040.45
  5. Step 5: Solve for x
    x = 6,257,040.45/2,798.69
  6. Step 6: Final answer
    x = 2,235.71

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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.