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Finding the Fourth Proportional to 2,825.80, 3,926.55 and 2,795.42

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Solution

The fourth proportional to 2,825.80, 3,926.55 and 2,795.42 is: 3,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.80 : 3,926.55 = 2,795.42 : x
  2. Step 2: Convert to fraction form
    2,825.80/3,926.55 = 2,795.42/x
  3. Step 3: Cross multiply
    2,825.80x = 3,926.55 × 2,795.42
  4. Step 4: Simplify right side
    2,825.80x = 10,976,356.40
  5. Step 5: Solve for x
    x = 10,976,356.40/2,825.80
  6. Step 6: Final answer
    x = 3,884.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.