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Finding the Fourth Proportional to 21,769, 30,041.24 and 11,833

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Solution

The fourth proportional to 21,769, 30,041.24 and 11,833 is: 16,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769 : 30,041.24 = 11,833 : x
  2. Step 2: Convert to fraction form
    21,769/30,041.24 = 11,833/x
  3. Step 3: Cross multiply
    21,769x = 30,041.24 × 11,833
  4. Step 4: Simplify right side
    21,769x = 355,477,992.92
  5. Step 5: Solve for x
    x = 355,477,992.92/21,769
  6. Step 6: Final answer
    x = 16,329.55

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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.