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Finding the Fourth Proportional to 16,209.29, 22,370.91 and 9,137.99

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Solution

The fourth proportional to 16,209.29, 22,370.91 and 9,137.99 is: 12,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.29 : 22,370.91 = 9,137.99 : x
  2. Step 2: Convert to fraction form
    16,209.29/22,370.91 = 9,137.99/x
  3. Step 3: Cross multiply
    16,209.29x = 22,370.91 × 9,137.99
  4. Step 4: Simplify right side
    16,209.29x = 204,425,151.87
  5. Step 5: Solve for x
    x = 204,425,151.87/16,209.29
  6. Step 6: Final answer
    x = 12,611.60

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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.