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Finding the Fourth Proportional to 21,855, 30,160.06 and 11,919

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Solution

The fourth proportional to 21,855, 30,160.06 and 11,919 is: 16,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855 : 30,160.06 = 11,919 : x
  2. Step 2: Convert to fraction form
    21,855/30,160.06 = 11,919/x
  3. Step 3: Cross multiply
    21,855x = 30,160.06 × 11,919
  4. Step 4: Simplify right side
    21,855x = 359,477,755.14
  5. Step 5: Solve for x
    x = 359,477,755.14/21,855
  6. Step 6: Final answer
    x = 16,448.31

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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.