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Finding the Fourth Proportional to 13,906, 19,190.46 and 7,618.60

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Solution

The fourth proportional to 13,906, 19,190.46 and 7,618.60 is: 10,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 19,190.46 = 7,618.60 : x
  2. Step 2: Convert to fraction form
    13,906/19,190.46 = 7,618.60/x
  3. Step 3: Cross multiply
    13,906x = 19,190.46 × 7,618.60
  4. Step 4: Simplify right side
    13,906x = 146,204,438.56
  5. Step 5: Solve for x
    x = 146,204,438.56/13,906
  6. Step 6: Final answer
    x = 10,513.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.