Home / 3,162-4,739.81-1,314.14

Finding the Fourth Proportional to 3,162, 4,739.81 and 1,314.14

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Solution

The fourth proportional to 3,162, 4,739.81 and 1,314.14 is: 1,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 4,739.81 = 1,314.14 : x
  2. Step 2: Convert to fraction form
    3,162/4,739.81 = 1,314.14/x
  3. Step 3: Cross multiply
    3,162x = 4,739.81 × 1,314.14
  4. Step 4: Simplify right side
    3,162x = 6,228,773.91
  5. Step 5: Solve for x
    x = 6,228,773.91/3,162
  6. Step 6: Final answer
    x = 1,969.88

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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.