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Finding the Fourth Proportional to 5,819.96, 8,031.84 and 5,409.92

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Solution

The fourth proportional to 5,819.96, 8,031.84 and 5,409.92 is: 7,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.96 : 8,031.84 = 5,409.92 : x
  2. Step 2: Convert to fraction form
    5,819.96/8,031.84 = 5,409.92/x
  3. Step 3: Cross multiply
    5,819.96x = 8,031.84 × 5,409.92
  4. Step 4: Simplify right side
    5,819.96x = 43,451,611.85
  5. Step 5: Solve for x
    x = 43,451,611.85/5,819.96
  6. Step 6: Final answer
    x = 7,465.96

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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.