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Finding the Fourth Proportional to 5,828.72, 8,046.61 and 3,950.22

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Solution

The fourth proportional to 5,828.72, 8,046.61 and 3,950.22 is: 5,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.72 : 8,046.61 = 3,950.22 : x
  2. Step 2: Convert to fraction form
    5,828.72/8,046.61 = 3,950.22/x
  3. Step 3: Cross multiply
    5,828.72x = 8,046.61 × 3,950.22
  4. Step 4: Simplify right side
    5,828.72x = 31,785,879.75
  5. Step 5: Solve for x
    x = 31,785,879.75/5,828.72
  6. Step 6: Final answer
    x = 5,453.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.