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Finding the Fourth Proportional to 21,763, 30,032.94 and 11,827

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Solution

The fourth proportional to 21,763, 30,032.94 and 11,827 is: 16,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763 : 30,032.94 = 11,827 : x
  2. Step 2: Convert to fraction form
    21,763/30,032.94 = 11,827/x
  3. Step 3: Cross multiply
    21,763x = 30,032.94 × 11,827
  4. Step 4: Simplify right side
    21,763x = 355,199,581.38
  5. Step 5: Solve for x
    x = 355,199,581.38/21,763
  6. Step 6: Final answer
    x = 16,321.26

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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.