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Finding the Fourth Proportional to 4,713.50, 7,072.14 and 2,115.92

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Solution

The fourth proportional to 4,713.50, 7,072.14 and 2,115.92 is: 3,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.50 : 7,072.14 = 2,115.92 : x
  2. Step 2: Convert to fraction form
    4,713.50/7,072.14 = 2,115.92/x
  3. Step 3: Cross multiply
    4,713.50x = 7,072.14 × 2,115.92
  4. Step 4: Simplify right side
    4,713.50x = 14,964,082.47
  5. Step 5: Solve for x
    x = 14,964,082.47/4,713.50
  6. Step 6: Final answer
    x = 3,174.73

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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.