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Finding the Fourth Proportional to 21,774, 30,048.36 and 11,838

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Solution

The fourth proportional to 21,774, 30,048.36 and 11,838 is: 16,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774 : 30,048.36 = 11,838 : x
  2. Step 2: Convert to fraction form
    21,774/30,048.36 = 11,838/x
  3. Step 3: Cross multiply
    21,774x = 30,048.36 × 11,838
  4. Step 4: Simplify right side
    21,774x = 355,712,485.68
  5. Step 5: Solve for x
    x = 355,712,485.68/21,774
  6. Step 6: Final answer
    x = 16,336.57

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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.