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Finding the Fourth Proportional to 2,765.53, 3,813.99 and 1,770.43

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Solution

The fourth proportional to 2,765.53, 3,813.99 and 1,770.43 is: 2,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.53 : 3,813.99 = 1,770.43 : x
  2. Step 2: Convert to fraction form
    2,765.53/3,813.99 = 1,770.43/x
  3. Step 3: Cross multiply
    2,765.53x = 3,813.99 × 1,770.43
  4. Step 4: Simplify right side
    2,765.53x = 6,752,402.32
  5. Step 5: Solve for x
    x = 6,752,402.32/2,765.53
  6. Step 6: Final answer
    x = 2,441.63

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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.