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Finding the Fourth Proportional to 4,704.79, 7,059 and 2,857.24

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Solution

The fourth proportional to 4,704.79, 7,059 and 2,857.24 is: 4,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.79 : 7,059 = 2,857.24 : x
  2. Step 2: Convert to fraction form
    4,704.79/7,059 = 2,857.24/x
  3. Step 3: Cross multiply
    4,704.79x = 7,059 × 2,857.24
  4. Step 4: Simplify right side
    4,704.79x = 20,169,257.16
  5. Step 5: Solve for x
    x = 20,169,257.16/4,704.79
  6. Step 6: Final answer
    x = 4,286.96

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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.