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Finding the Fourth Proportional to 21,671.82, 29,907.10 and 11,735.82

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Solution

The fourth proportional to 21,671.82, 29,907.10 and 11,735.82 is: 16,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.82 : 29,907.10 = 11,735.82 : x
  2. Step 2: Convert to fraction form
    21,671.82/29,907.10 = 11,735.82/x
  3. Step 3: Cross multiply
    21,671.82x = 29,907.10 × 11,735.82
  4. Step 4: Simplify right side
    21,671.82x = 350,984,342.32
  5. Step 5: Solve for x
    x = 350,984,342.32/21,671.82
  6. Step 6: Final answer
    x = 16,195.43

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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.