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Finding the Fourth Proportional to 22,447.85, 30,978.11 and 12,238.82

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Solution

The fourth proportional to 22,447.85, 30,978.11 and 12,238.82 is: 16,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.85 : 30,978.11 = 12,238.82 : x
  2. Step 2: Convert to fraction form
    22,447.85/30,978.11 = 12,238.82/x
  3. Step 3: Cross multiply
    22,447.85x = 30,978.11 × 12,238.82
  4. Step 4: Simplify right side
    22,447.85x = 379,135,512.23
  5. Step 5: Solve for x
    x = 379,135,512.23/22,447.85
  6. Step 6: Final answer
    x = 16,889.61

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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.