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Finding the Fourth Proportional to 8,121.49, 12,201.69 and 5,205.49

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Solution

The fourth proportional to 8,121.49, 12,201.69 and 5,205.49 is: 7,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.49 : 12,201.69 = 5,205.49 : x
  2. Step 2: Convert to fraction form
    8,121.49/12,201.69 = 5,205.49/x
  3. Step 3: Cross multiply
    8,121.49x = 12,201.69 × 5,205.49
  4. Step 4: Simplify right side
    8,121.49x = 63,515,775.28
  5. Step 5: Solve for x
    x = 63,515,775.28/8,121.49
  6. Step 6: Final answer
    x = 7,820.70

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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.