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Finding the Fourth Proportional to 8,500.83, 12,750.75 and 3,819.63

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Solution

The fourth proportional to 8,500.83, 12,750.75 and 3,819.63 is: 5,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.83 : 12,750.75 = 3,819.63 : x
  2. Step 2: Convert to fraction form
    8,500.83/12,750.75 = 3,819.63/x
  3. Step 3: Cross multiply
    8,500.83x = 12,750.75 × 3,819.63
  4. Step 4: Simplify right side
    8,500.83x = 48,703,147.22
  5. Step 5: Solve for x
    x = 48,703,147.22/8,500.83
  6. Step 6: Final answer
    x = 5,729.22

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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.