Home / 3,205.09-4,805.92-1,644.45

Finding the Fourth Proportional to 3,205.09, 4,805.92 and 1,644.45

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Solution

The fourth proportional to 3,205.09, 4,805.92 and 1,644.45 is: 2,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.09 : 4,805.92 = 1,644.45 : x
  2. Step 2: Convert to fraction form
    3,205.09/4,805.92 = 1,644.45/x
  3. Step 3: Cross multiply
    3,205.09x = 4,805.92 × 1,644.45
  4. Step 4: Simplify right side
    3,205.09x = 7,903,095.14
  5. Step 5: Solve for x
    x = 7,903,095.14/3,205.09
  6. Step 6: Final answer
    x = 2,465.80

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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.