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Finding the Fourth Proportional to 16,081.62, 22,193.78 and 9,709.75

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Solution

The fourth proportional to 16,081.62, 22,193.78 and 9,709.75 is: 13,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.62 : 22,193.78 = 9,709.75 : x
  2. Step 2: Convert to fraction form
    16,081.62/22,193.78 = 9,709.75/x
  3. Step 3: Cross multiply
    16,081.62x = 22,193.78 × 9,709.75
  4. Step 4: Simplify right side
    16,081.62x = 215,496,055.36
  5. Step 5: Solve for x
    x = 215,496,055.36/16,081.62
  6. Step 6: Final answer
    x = 13,400.15

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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.