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Finding the Fourth Proportional to 2,765.58, 3,813.57 and 1,770.90

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Solution

The fourth proportional to 2,765.58, 3,813.57 and 1,770.90 is: 2,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.58 : 3,813.57 = 1,770.90 : x
  2. Step 2: Convert to fraction form
    2,765.58/3,813.57 = 1,770.90/x
  3. Step 3: Cross multiply
    2,765.58x = 3,813.57 × 1,770.90
  4. Step 4: Simplify right side
    2,765.58x = 6,753,451.11
  5. Step 5: Solve for x
    x = 6,753,451.11/2,765.58
  6. Step 6: Final answer
    x = 2,441.97

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1.5x scale

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.