Home / 3,823.44-5,735.16-3,138

Finding the Fourth Proportional to 3,823.44, 5,735.16 and 3,138

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Solution

The fourth proportional to 3,823.44, 5,735.16 and 3,138 is: 4,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.44 : 5,735.16 = 3,138 : x
  2. Step 2: Convert to fraction form
    3,823.44/5,735.16 = 3,138/x
  3. Step 3: Cross multiply
    3,823.44x = 5,735.16 × 3,138
  4. Step 4: Simplify right side
    3,823.44x = 17,996,932.08
  5. Step 5: Solve for x
    x = 17,996,932.08/3,823.44
  6. Step 6: Final answer
    x = 4,707.00

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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.