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Finding the Fourth Proportional to 21,843, 30,143.40 and 11,907

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Solution

The fourth proportional to 21,843, 30,143.40 and 11,907 is: 16,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 30,143.40 = 11,907 : x
  2. Step 2: Convert to fraction form
    21,843/30,143.40 = 11,907/x
  3. Step 3: Cross multiply
    21,843x = 30,143.40 × 11,907
  4. Step 4: Simplify right side
    21,843x = 358,917,463.80
  5. Step 5: Solve for x
    x = 358,917,463.80/21,843
  6. Step 6: Final answer
    x = 16,431.69

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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.