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Finding the Fourth Proportional to 21,947, 30,286.92 and 12,011

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Solution

The fourth proportional to 21,947, 30,286.92 and 12,011 is: 16,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947 : 30,286.92 = 12,011 : x
  2. Step 2: Convert to fraction form
    21,947/30,286.92 = 12,011/x
  3. Step 3: Cross multiply
    21,947x = 30,286.92 × 12,011
  4. Step 4: Simplify right side
    21,947x = 363,776,196.12
  5. Step 5: Solve for x
    x = 363,776,196.12/21,947
  6. Step 6: Final answer
    x = 16,575.21

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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.