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Finding the Fourth Proportional to 21,764, 30,034.56 and 11,828

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Solution

The fourth proportional to 21,764, 30,034.56 and 11,828 is: 16,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764 : 30,034.56 = 11,828 : x
  2. Step 2: Convert to fraction form
    21,764/30,034.56 = 11,828/x
  3. Step 3: Cross multiply
    21,764x = 30,034.56 × 11,828
  4. Step 4: Simplify right side
    21,764x = 355,248,775.68
  5. Step 5: Solve for x
    x = 355,248,775.68/21,764
  6. Step 6: Final answer
    x = 16,322.77

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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.