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Finding the Fourth Proportional to 2,546.12, 3,818.63 and 902.72

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Solution

The fourth proportional to 2,546.12, 3,818.63 and 902.72 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.12 : 3,818.63 = 902.72 : x
  2. Step 2: Convert to fraction form
    2,546.12/3,818.63 = 902.72/x
  3. Step 3: Cross multiply
    2,546.12x = 3,818.63 × 902.72
  4. Step 4: Simplify right side
    2,546.12x = 3,447,153.67
  5. Step 5: Solve for x
    x = 3,447,153.67/2,546.12
  6. Step 6: Final answer
    x = 1,353.88

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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.