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Finding the Fourth Proportional to 21,765, 30,035.72 and 11,829

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Solution

The fourth proportional to 21,765, 30,035.72 and 11,829 is: 16,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765 : 30,035.72 = 11,829 : x
  2. Step 2: Convert to fraction form
    21,765/30,035.72 = 11,829/x
  3. Step 3: Cross multiply
    21,765x = 30,035.72 × 11,829
  4. Step 4: Simplify right side
    21,765x = 355,292,531.88
  5. Step 5: Solve for x
    x = 355,292,531.88/21,765
  6. Step 6: Final answer
    x = 16,324.03

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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.