Home / 3,205.31-4,804.83-1,646.06

Finding the Fourth Proportional to 3,205.31, 4,804.83 and 1,646.06

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Solution

The fourth proportional to 3,205.31, 4,804.83 and 1,646.06 is: 2,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.31 : 4,804.83 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    3,205.31/4,804.83 = 1,646.06/x
  3. Step 3: Cross multiply
    3,205.31x = 4,804.83 × 1,646.06
  4. Step 4: Simplify right side
    3,205.31x = 7,909,014.45
  5. Step 5: Solve for x
    x = 7,909,014.45/3,205.31
  6. Step 6: Final answer
    x = 2,467.48

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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.