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Finding the Fourth Proportional to 16,138.88, 24,212.64 and 7,822.88

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Solution

The fourth proportional to 16,138.88, 24,212.64 and 7,822.88 is: 11,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.88 : 24,212.64 = 7,822.88 : x
  2. Step 2: Convert to fraction form
    16,138.88/24,212.64 = 7,822.88/x
  3. Step 3: Cross multiply
    16,138.88x = 24,212.64 × 7,822.88
  4. Step 4: Simplify right side
    16,138.88x = 189,412,577.20
  5. Step 5: Solve for x
    x = 189,412,577.20/16,138.88
  6. Step 6: Final answer
    x = 11,736.41

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1.5x scale

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.