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Finding the Fourth Proportional to 5,804.40, 8,704.08 and 2,105.40

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Solution

The fourth proportional to 5,804.40, 8,704.08 and 2,105.40 is: 3,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.40 : 8,704.08 = 2,105.40 : x
  2. Step 2: Convert to fraction form
    5,804.40/8,704.08 = 2,105.40/x
  3. Step 3: Cross multiply
    5,804.40x = 8,704.08 × 2,105.40
  4. Step 4: Simplify right side
    5,804.40x = 18,325,570.03
  5. Step 5: Solve for x
    x = 18,325,570.03/5,804.40
  6. Step 6: Final answer
    x = 3,157.19

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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.