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Finding the Fourth Proportional to 2,798.58, 4,198.74 and 1,155.90

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Solution

The fourth proportional to 2,798.58, 4,198.74 and 1,155.90 is: 1,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.58 : 4,198.74 = 1,155.90 : x
  2. Step 2: Convert to fraction form
    2,798.58/4,198.74 = 1,155.90/x
  3. Step 3: Cross multiply
    2,798.58x = 4,198.74 × 1,155.90
  4. Step 4: Simplify right side
    2,798.58x = 4,853,323.57
  5. Step 5: Solve for x
    x = 4,853,323.57/2,798.58
  6. Step 6: Final answer
    x = 1,734.21

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Why These Related Problems?

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