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Finding the Fourth Proportional to 21,671, 29,905.98 and 11,735

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Solution

The fourth proportional to 21,671, 29,905.98 and 11,735 is: 16,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671 : 29,905.98 = 11,735 : x
  2. Step 2: Convert to fraction form
    21,671/29,905.98 = 11,735/x
  3. Step 3: Cross multiply
    21,671x = 29,905.98 × 11,735
  4. Step 4: Simplify right side
    21,671x = 350,946,675.30
  5. Step 5: Solve for x
    x = 350,946,675.30/21,671
  6. Step 6: Final answer
    x = 16,194.30

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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.