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Finding the Fourth Proportional to 12,800.82, 19,201.22 and 3,566.82

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Solution

The fourth proportional to 12,800.82, 19,201.22 and 3,566.82 is: 5,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.82 : 19,201.22 = 3,566.82 : x
  2. Step 2: Convert to fraction form
    12,800.82/19,201.22 = 3,566.82/x
  3. Step 3: Cross multiply
    12,800.82x = 19,201.22 × 3,566.82
  4. Step 4: Simplify right side
    12,800.82x = 68,487,277.69
  5. Step 5: Solve for x
    x = 68,487,277.69/12,800.82
  6. Step 6: Final answer
    x = 5,350.23

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Similar ratio
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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.