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Finding the Fourth Proportional to 21,872.92, 30,181.92 and 12,311.64

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Solution

The fourth proportional to 21,872.92, 30,181.92 and 12,311.64 is: 16,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.92 : 30,181.92 = 12,311.64 : x
  2. Step 2: Convert to fraction form
    21,872.92/30,181.92 = 12,311.64/x
  3. Step 3: Cross multiply
    21,872.92x = 30,181.92 × 12,311.64
  4. Step 4: Simplify right side
    21,872.92x = 371,588,933.55
  5. Step 5: Solve for x
    x = 371,588,933.55/21,872.92
  6. Step 6: Final answer
    x = 16,988.54

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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.