Home / 3,162-4,743.36-1,623.36

Finding the Fourth Proportional to 3,162, 4,743.36 and 1,623.36

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Solution

The fourth proportional to 3,162, 4,743.36 and 1,623.36 is: 2,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 4,743.36 = 1,623.36 : x
  2. Step 2: Convert to fraction form
    3,162/4,743.36 = 1,623.36/x
  3. Step 3: Cross multiply
    3,162x = 4,743.36 × 1,623.36
  4. Step 4: Simplify right side
    3,162x = 7,700,180.89
  5. Step 5: Solve for x
    x = 7,700,180.89/3,162
  6. Step 6: Final answer
    x = 2,435.22

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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.