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Finding the Fourth Proportional to 2,770.83, 3,821.91 and 1,774.53

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Solution

The fourth proportional to 2,770.83, 3,821.91 and 1,774.53 is: 2,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.83 : 3,821.91 = 1,774.53 : x
  2. Step 2: Convert to fraction form
    2,770.83/3,821.91 = 1,774.53/x
  3. Step 3: Cross multiply
    2,770.83x = 3,821.91 × 1,774.53
  4. Step 4: Simplify right side
    2,770.83x = 6,782,093.95
  5. Step 5: Solve for x
    x = 6,782,093.95/2,770.83
  6. Step 6: Final answer
    x = 2,447.68

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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.