Home / 4,212-6,318.92-1,614.94

Finding the Fourth Proportional to 4,212, 6,318.92 and 1,614.94

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Solution

The fourth proportional to 4,212, 6,318.92 and 1,614.94 is: 2,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,318.92 = 1,614.94 : x
  2. Step 2: Convert to fraction form
    4,212/6,318.92 = 1,614.94/x
  3. Step 3: Cross multiply
    4,212x = 6,318.92 × 1,614.94
  4. Step 4: Simplify right side
    4,212x = 10,204,652.79
  5. Step 5: Solve for x
    x = 10,204,652.79/4,212
  6. Step 6: Final answer
    x = 2,422.76

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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.