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Finding the Fourth Proportional to 12,228.70, 16,874.84 and 7,193.80

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Solution

The fourth proportional to 12,228.70, 16,874.84 and 7,193.80 is: 9,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.70 : 16,874.84 = 7,193.80 : x
  2. Step 2: Convert to fraction form
    12,228.70/16,874.84 = 7,193.80/x
  3. Step 3: Cross multiply
    12,228.70x = 16,874.84 × 7,193.80
  4. Step 4: Simplify right side
    12,228.70x = 121,394,223.99
  5. Step 5: Solve for x
    x = 121,394,223.99/12,228.70
  6. Step 6: Final answer
    x = 9,926.99

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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.