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Finding the Fourth Proportional to 21,992.23, 32,993.97 and 6,409.81

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Solution

The fourth proportional to 21,992.23, 32,993.97 and 6,409.81 is: 9,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.23 : 32,993.97 = 6,409.81 : x
  2. Step 2: Convert to fraction form
    21,992.23/32,993.97 = 6,409.81/x
  3. Step 3: Cross multiply
    21,992.23x = 32,993.97 × 6,409.81
  4. Step 4: Simplify right side
    21,992.23x = 211,485,078.85
  5. Step 5: Solve for x
    x = 211,485,078.85/21,992.23
  6. Step 6: Final answer
    x = 9,616.35

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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.