Home / 21,982.72-32,954.10-8,122

Finding the Fourth Proportional to 21,982.72, 32,954.10 and 8,122

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Solution

The fourth proportional to 21,982.72, 32,954.10 and 8,122 is: 12,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.72 : 32,954.10 = 8,122 : x
  2. Step 2: Convert to fraction form
    21,982.72/32,954.10 = 8,122/x
  3. Step 3: Cross multiply
    21,982.72x = 32,954.10 × 8,122
  4. Step 4: Simplify right side
    21,982.72x = 267,653,200.20
  5. Step 5: Solve for x
    x = 267,653,200.20/21,982.72
  6. Step 6: Final answer
    x = 12,175.62

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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.