Home / 3,209.56-4,814.27-1,648.64

Finding the Fourth Proportional to 3,209.56, 4,814.27 and 1,648.64

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Solution

The fourth proportional to 3,209.56, 4,814.27 and 1,648.64 is: 2,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.56 : 4,814.27 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    3,209.56/4,814.27 = 1,648.64/x
  3. Step 3: Cross multiply
    3,209.56x = 4,814.27 × 1,648.64
  4. Step 4: Simplify right side
    3,209.56x = 7,936,998.09
  5. Step 5: Solve for x
    x = 7,936,998.09/3,209.56
  6. Step 6: Final answer
    x = 2,472.93

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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.