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Finding the Fourth Proportional to 16,093.50, 22,205.40 and 9,721.12

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Solution

The fourth proportional to 16,093.50, 22,205.40 and 9,721.12 is: 13,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.50 : 22,205.40 = 9,721.12 : x
  2. Step 2: Convert to fraction form
    16,093.50/22,205.40 = 9,721.12/x
  3. Step 3: Cross multiply
    16,093.50x = 22,205.40 × 9,721.12
  4. Step 4: Simplify right side
    16,093.50x = 215,861,358.05
  5. Step 5: Solve for x
    x = 215,861,358.05/16,093.50
  6. Step 6: Final answer
    x = 13,412.95

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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.