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Finding the Fourth Proportional to 13,912.35, 19,198.94 and 7,624.71

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Solution

The fourth proportional to 13,912.35, 19,198.94 and 7,624.71 is: 10,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.35 : 19,198.94 = 7,624.71 : x
  2. Step 2: Convert to fraction form
    13,912.35/19,198.94 = 7,624.71/x
  3. Step 3: Cross multiply
    13,912.35x = 19,198.94 × 7,624.71
  4. Step 4: Simplify right side
    13,912.35x = 146,386,311.68
  5. Step 5: Solve for x
    x = 146,386,311.68/13,912.35
  6. Step 6: Final answer
    x = 10,522.04

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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.