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Finding the Fourth Proportional to 2,546.03, 3,818.14 and 902.14

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Solution

The fourth proportional to 2,546.03, 3,818.14 and 902.14 is: 1,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.03 : 3,818.14 = 902.14 : x
  2. Step 2: Convert to fraction form
    2,546.03/3,818.14 = 902.14/x
  3. Step 3: Cross multiply
    2,546.03x = 3,818.14 × 902.14
  4. Step 4: Simplify right side
    2,546.03x = 3,444,485.02
  5. Step 5: Solve for x
    x = 3,444,485.02/2,546.03
  6. Step 6: Final answer
    x = 1,352.88

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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.