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Finding the Fourth Proportional to 5,704.44, 7,872.16 and 3,186.56

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Solution

The fourth proportional to 5,704.44, 7,872.16 and 3,186.56 is: 4,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.44 : 7,872.16 = 3,186.56 : x
  2. Step 2: Convert to fraction form
    5,704.44/7,872.16 = 3,186.56/x
  3. Step 3: Cross multiply
    5,704.44x = 7,872.16 × 3,186.56
  4. Step 4: Simplify right side
    5,704.44x = 25,085,094.24
  5. Step 5: Solve for x
    x = 25,085,094.24/5,704.44
  6. Step 6: Final answer
    x = 4,397.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.