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Finding the Fourth Proportional to 22,614.75, 31,212 and 13,181.49

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Solution

The fourth proportional to 22,614.75, 31,212 and 13,181.49 is: 18,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.75 : 31,212 = 13,181.49 : x
  2. Step 2: Convert to fraction form
    22,614.75/31,212 = 13,181.49/x
  3. Step 3: Cross multiply
    22,614.75x = 31,212 × 13,181.49
  4. Step 4: Simplify right side
    22,614.75x = 411,420,665.88
  5. Step 5: Solve for x
    x = 411,420,665.88/22,614.75
  6. Step 6: Final answer
    x = 18,192.58

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1.5x scale

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.