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Finding the Fourth Proportional to 16,286.63, 22,475.55 and 9,212.90

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Solution

The fourth proportional to 16,286.63, 22,475.55 and 9,212.90 is: 12,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.63 : 22,475.55 = 9,212.90 : x
  2. Step 2: Convert to fraction form
    16,286.63/22,475.55 = 9,212.90/x
  3. Step 3: Cross multiply
    16,286.63x = 22,475.55 × 9,212.90
  4. Step 4: Simplify right side
    16,286.63x = 207,064,882.22
  5. Step 5: Solve for x
    x = 207,064,882.22/16,286.63
  6. Step 6: Final answer
    x = 12,713.80

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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.