Home / 7,828.99-11,743.89-3,825.16

Finding the Fourth Proportional to 7,828.99, 11,743.89 and 3,825.16

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Solution

The fourth proportional to 7,828.99, 11,743.89 and 3,825.16 is: 5,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.99 : 11,743.89 = 3,825.16 : x
  2. Step 2: Convert to fraction form
    7,828.99/11,743.89 = 3,825.16/x
  3. Step 3: Cross multiply
    7,828.99x = 11,743.89 × 3,825.16
  4. Step 4: Simplify right side
    7,828.99x = 44,922,258.27
  5. Step 5: Solve for x
    x = 44,922,258.27/7,828.99
  6. Step 6: Final answer
    x = 5,737.94

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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.