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Finding the Fourth Proportional to 5,212.08, 7,819.20 and 4,235.76

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Solution

The fourth proportional to 5,212.08, 7,819.20 and 4,235.76 is: 6,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.08 : 7,819.20 = 4,235.76 : x
  2. Step 2: Convert to fraction form
    5,212.08/7,819.20 = 4,235.76/x
  3. Step 3: Cross multiply
    5,212.08x = 7,819.20 × 4,235.76
  4. Step 4: Simplify right side
    5,212.08x = 33,120,254.59
  5. Step 5: Solve for x
    x = 33,120,254.59/5,212.08
  6. Step 6: Final answer
    x = 6,354.52

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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.