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Finding the Fourth Proportional to 19,990.82, 29,948.07 and 11,199.14

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Solution

The fourth proportional to 19,990.82, 29,948.07 and 11,199.14 is: 16,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.82 : 29,948.07 = 11,199.14 : x
  2. Step 2: Convert to fraction form
    19,990.82/29,948.07 = 11,199.14/x
  3. Step 3: Cross multiply
    19,990.82x = 29,948.07 × 11,199.14
  4. Step 4: Simplify right side
    19,990.82x = 335,392,628.66
  5. Step 5: Solve for x
    x = 335,392,628.66/19,990.82
  6. Step 6: Final answer
    x = 16,777.33

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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.