Home / 5,234.16-7,846.92-2,154

Finding the Fourth Proportional to 5,234.16, 7,846.92 and 2,154

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Solution

The fourth proportional to 5,234.16, 7,846.92 and 2,154 is: 3,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.16 : 7,846.92 = 2,154 : x
  2. Step 2: Convert to fraction form
    5,234.16/7,846.92 = 2,154/x
  3. Step 3: Cross multiply
    5,234.16x = 7,846.92 × 2,154
  4. Step 4: Simplify right side
    5,234.16x = 16,902,265.68
  5. Step 5: Solve for x
    x = 16,902,265.68/5,234.16
  6. Step 6: Final answer
    x = 3,229.22

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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.