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Finding the Fourth Proportional to 5,704.20, 8,555.72 and 3,867.12

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Solution

The fourth proportional to 5,704.20, 8,555.72 and 3,867.12 is: 5,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.20 : 8,555.72 = 3,867.12 : x
  2. Step 2: Convert to fraction form
    5,704.20/8,555.72 = 3,867.12/x
  3. Step 3: Cross multiply
    5,704.20x = 8,555.72 × 3,867.12
  4. Step 4: Simplify right side
    5,704.20x = 33,085,995.93
  5. Step 5: Solve for x
    x = 33,085,995.93/5,704.20
  6. Step 6: Final answer
    x = 5,800.29

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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.