Home / 3,161.96-4,739.10-1,406.12

Finding the Fourth Proportional to 3,161.96, 4,739.10 and 1,406.12

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Solution

The fourth proportional to 3,161.96, 4,739.10 and 1,406.12 is: 2,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.96 : 4,739.10 = 1,406.12 : x
  2. Step 2: Convert to fraction form
    3,161.96/4,739.10 = 1,406.12/x
  3. Step 3: Cross multiply
    3,161.96x = 4,739.10 × 1,406.12
  4. Step 4: Simplify right side
    3,161.96x = 6,663,743.29
  5. Step 5: Solve for x
    x = 6,663,743.29/3,161.96
  6. Step 6: Final answer
    x = 2,107.47

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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.