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Finding the Fourth Proportional to 28,198.83, 42,296.12 and 8,208.49

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Solution

The fourth proportional to 28,198.83, 42,296.12 and 8,208.49 is: 12,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.83 : 42,296.12 = 8,208.49 : x
  2. Step 2: Convert to fraction form
    28,198.83/42,296.12 = 8,208.49/x
  3. Step 3: Cross multiply
    28,198.83x = 42,296.12 × 8,208.49
  4. Step 4: Simplify right side
    28,198.83x = 347,187,025.54
  5. Step 5: Solve for x
    x = 347,187,025.54/28,198.83
  6. Step 6: Final answer
    x = 12,312.11

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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.