Home / 4,828-7,243.25-1,365.25

Finding the Fourth Proportional to 4,828, 7,243.25 and 1,365.25

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Solution

The fourth proportional to 4,828, 7,243.25 and 1,365.25 is: 2,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828 : 7,243.25 = 1,365.25 : x
  2. Step 2: Convert to fraction form
    4,828/7,243.25 = 1,365.25/x
  3. Step 3: Cross multiply
    4,828x = 7,243.25 × 1,365.25
  4. Step 4: Simplify right side
    4,828x = 9,888,847.06
  5. Step 5: Solve for x
    x = 9,888,847.06/4,828
  6. Step 6: Final answer
    x = 2,048.23

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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.