Home / 6,738-10,107.36-2,121.36

Finding the Fourth Proportional to 6,738, 10,107.36 and 2,121.36

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Solution

The fourth proportional to 6,738, 10,107.36 and 2,121.36 is: 3,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 10,107.36 = 2,121.36 : x
  2. Step 2: Convert to fraction form
    6,738/10,107.36 = 2,121.36/x
  3. Step 3: Cross multiply
    6,738x = 10,107.36 × 2,121.36
  4. Step 4: Simplify right side
    6,738x = 21,441,349.21
  5. Step 5: Solve for x
    x = 21,441,349.21/6,738
  6. Step 6: Final answer
    x = 3,182.15

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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.