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Finding the Fourth Proportional to 2,765.22, 3,819.74 and 2,209.59

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Solution

The fourth proportional to 2,765.22, 3,819.74 and 2,209.59 is: 3,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.22 : 3,819.74 = 2,209.59 : x
  2. Step 2: Convert to fraction form
    2,765.22/3,819.74 = 2,209.59/x
  3. Step 3: Cross multiply
    2,765.22x = 3,819.74 × 2,209.59
  4. Step 4: Simplify right side
    2,765.22x = 8,440,029.16
  5. Step 5: Solve for x
    x = 8,440,029.16/2,765.22
  6. Step 6: Final answer
    x = 3,052.21

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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.