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Finding the Fourth Proportional to 19,998, 29,998.48 and 7,686

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Solution

The fourth proportional to 19,998, 29,998.48 and 7,686 is: 11,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998 : 29,998.48 = 7,686 : x
  2. Step 2: Convert to fraction form
    19,998/29,998.48 = 7,686/x
  3. Step 3: Cross multiply
    19,998x = 29,998.48 × 7,686
  4. Step 4: Simplify right side
    19,998x = 230,568,317.28
  5. Step 5: Solve for x
    x = 230,568,317.28/19,998
  6. Step 6: Final answer
    x = 11,529.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.