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Finding the Fourth Proportional to 21,511, 29,672.31 and 13,539.39

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Solution

The fourth proportional to 21,511, 29,672.31 and 13,539.39 is: 18,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511 : 29,672.31 = 13,539.39 : x
  2. Step 2: Convert to fraction form
    21,511/29,672.31 = 13,539.39/x
  3. Step 3: Cross multiply
    21,511x = 29,672.31 × 13,539.39
  4. Step 4: Simplify right side
    21,511x = 401,744,977.29
  5. Step 5: Solve for x
    x = 401,744,977.29/21,511
  6. Step 6: Final answer
    x = 18,676.26

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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.