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Finding the Fourth Proportional to 22,408.32, 30,922.32 and 12,847.92

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Solution

The fourth proportional to 22,408.32, 30,922.32 and 12,847.92 is: 17,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.32 : 30,922.32 = 12,847.92 : x
  2. Step 2: Convert to fraction form
    22,408.32/30,922.32 = 12,847.92/x
  3. Step 3: Cross multiply
    22,408.32x = 30,922.32 × 12,847.92
  4. Step 4: Simplify right side
    22,408.32x = 397,287,493.57
  5. Step 5: Solve for x
    x = 397,287,493.57/22,408.32
  6. Step 6: Final answer
    x = 17,729.46

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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.