Home / 3,109.82-4,664.80-1,160.96

Finding the Fourth Proportional to 3,109.82, 4,664.80 and 1,160.96

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Solution

The fourth proportional to 3,109.82, 4,664.80 and 1,160.96 is: 1,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.82 : 4,664.80 = 1,160.96 : x
  2. Step 2: Convert to fraction form
    3,109.82/4,664.80 = 1,160.96/x
  3. Step 3: Cross multiply
    3,109.82x = 4,664.80 × 1,160.96
  4. Step 4: Simplify right side
    3,109.82x = 5,415,646.21
  5. Step 5: Solve for x
    x = 5,415,646.21/3,109.82
  6. Step 6: Final answer
    x = 1,741.47

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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.