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Finding the Fourth Proportional to 21,982.68, 32,959.44 and 7,186.41

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Solution

The fourth proportional to 21,982.68, 32,959.44 and 7,186.41 is: 10,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.68 : 32,959.44 = 7,186.41 : x
  2. Step 2: Convert to fraction form
    21,982.68/32,959.44 = 7,186.41/x
  3. Step 3: Cross multiply
    21,982.68x = 32,959.44 × 7,186.41
  4. Step 4: Simplify right side
    21,982.68x = 236,860,049.21
  5. Step 5: Solve for x
    x = 236,860,049.21/21,982.68
  6. Step 6: Final answer
    x = 10,774.85

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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.