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Finding the Fourth Proportional to 2,804.00, 4,202.35 and 1,241.78

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Solution

The fourth proportional to 2,804.00, 4,202.35 and 1,241.78 is: 1,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.00 : 4,202.35 = 1,241.78 : x
  2. Step 2: Convert to fraction form
    2,804.00/4,202.35 = 1,241.78/x
  3. Step 3: Cross multiply
    2,804.00x = 4,202.35 × 1,241.78
  4. Step 4: Simplify right side
    2,804.00x = 5,218,370.07
  5. Step 5: Solve for x
    x = 5,218,370.07/2,804.00
  6. Step 6: Final answer
    x = 1,861.05

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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.