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Finding the Fourth Proportional to 2,546.16, 3,819.60 and 902.73

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Solution

The fourth proportional to 2,546.16, 3,819.60 and 902.73 is: 1,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.16 : 3,819.60 = 902.73 : x
  2. Step 2: Convert to fraction form
    2,546.16/3,819.60 = 902.73/x
  3. Step 3: Cross multiply
    2,546.16x = 3,819.60 × 902.73
  4. Step 4: Simplify right side
    2,546.16x = 3,448,067.51
  5. Step 5: Solve for x
    x = 3,448,067.51/2,546.16
  6. Step 6: Final answer
    x = 1,354.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.