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Finding the Fourth Proportional to 2,546.01, 3,819.15 and 902.73

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Solution

The fourth proportional to 2,546.01, 3,819.15 and 902.73 is: 1,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.01 : 3,819.15 = 902.73 : x
  2. Step 2: Convert to fraction form
    2,546.01/3,819.15 = 902.73/x
  3. Step 3: Cross multiply
    2,546.01x = 3,819.15 × 902.73
  4. Step 4: Simplify right side
    2,546.01x = 3,447,661.28
  5. Step 5: Solve for x
    x = 3,447,661.28/2,546.01
  6. Step 6: Final answer
    x = 1,354.14

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