Home / 6,828-10,242.24-3,119.16

Finding the Fourth Proportional to 6,828, 10,242.24 and 3,119.16

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Solution

The fourth proportional to 6,828, 10,242.24 and 3,119.16 is: 4,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,242.24 = 3,119.16 : x
  2. Step 2: Convert to fraction form
    6,828/10,242.24 = 3,119.16/x
  3. Step 3: Cross multiply
    6,828x = 10,242.24 × 3,119.16
  4. Step 4: Simplify right side
    6,828x = 31,947,185.32
  5. Step 5: Solve for x
    x = 31,947,185.32/6,828
  6. Step 6: Final answer
    x = 4,678.85

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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.