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Finding the Fourth Proportional to 21,697, 29,941.88 and 11,761

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Solution

The fourth proportional to 21,697, 29,941.88 and 11,761 is: 16,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697 : 29,941.88 = 11,761 : x
  2. Step 2: Convert to fraction form
    21,697/29,941.88 = 11,761/x
  3. Step 3: Cross multiply
    21,697x = 29,941.88 × 11,761
  4. Step 4: Simplify right side
    21,697x = 352,146,450.68
  5. Step 5: Solve for x
    x = 352,146,450.68/21,697
  6. Step 6: Final answer
    x = 16,230.19

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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.