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Finding the Fourth Proportional to 21,329, 31,996.14 and 7,290.44

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Solution

The fourth proportional to 21,329, 31,996.14 and 7,290.44 is: 10,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329 : 31,996.14 = 7,290.44 : x
  2. Step 2: Convert to fraction form
    21,329/31,996.14 = 7,290.44/x
  3. Step 3: Cross multiply
    21,329x = 31,996.14 × 7,290.44
  4. Step 4: Simplify right side
    21,329x = 233,265,938.90
  5. Step 5: Solve for x
    x = 233,265,938.90/21,329
  6. Step 6: Final answer
    x = 10,936.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.