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Finding the Fourth Proportional to 2,799.93, 4,198.90 and 825.02

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Solution

The fourth proportional to 2,799.93, 4,198.90 and 825.02 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.93 : 4,198.90 = 825.02 : x
  2. Step 2: Convert to fraction form
    2,799.93/4,198.90 = 825.02/x
  3. Step 3: Cross multiply
    2,799.93x = 4,198.90 × 825.02
  4. Step 4: Simplify right side
    2,799.93x = 3,464,176.48
  5. Step 5: Solve for x
    x = 3,464,176.48/2,799.93
  6. Step 6: Final answer
    x = 1,237.24

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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.