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Finding the Fourth Proportional to 13,991.67, 19,308.42 and 7,704

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Solution

The fourth proportional to 13,991.67, 19,308.42 and 7,704 is: 10,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.67 : 19,308.42 = 7,704 : x
  2. Step 2: Convert to fraction form
    13,991.67/19,308.42 = 7,704/x
  3. Step 3: Cross multiply
    13,991.67x = 19,308.42 × 7,704
  4. Step 4: Simplify right side
    13,991.67x = 148,752,067.68
  5. Step 5: Solve for x
    x = 148,752,067.68/13,991.67
  6. Step 6: Final answer
    x = 10,631.47

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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.