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Finding the Fourth Proportional to 13,974.67, 19,285 and 7,687

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Solution

The fourth proportional to 13,974.67, 19,285 and 7,687 is: 10,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.67 : 19,285 = 7,687 : x
  2. Step 2: Convert to fraction form
    13,974.67/19,285 = 7,687/x
  3. Step 3: Cross multiply
    13,974.67x = 19,285 × 7,687
  4. Step 4: Simplify right side
    13,974.67x = 148,243,795
  5. Step 5: Solve for x
    x = 148,243,795/13,974.67
  6. Step 6: Final answer
    x = 10,608.04

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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.