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Finding the Fourth Proportional to 19,819.44, 29,728.08 and 8,129.52

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Solution

The fourth proportional to 19,819.44, 29,728.08 and 8,129.52 is: 12,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.44 : 29,728.08 = 8,129.52 : x
  2. Step 2: Convert to fraction form
    19,819.44/29,728.08 = 8,129.52/x
  3. Step 3: Cross multiply
    19,819.44x = 29,728.08 × 8,129.52
  4. Step 4: Simplify right side
    19,819.44x = 241,675,020.92
  5. Step 5: Solve for x
    x = 241,675,020.92/19,819.44
  6. Step 6: Final answer
    x = 12,193.84

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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.