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Finding the Fourth Proportional to 8,147.88, 12,212.04 and 4,201.02

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Solution

The fourth proportional to 8,147.88, 12,212.04 and 4,201.02 is: 6,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.88 : 12,212.04 = 4,201.02 : x
  2. Step 2: Convert to fraction form
    8,147.88/12,212.04 = 4,201.02/x
  3. Step 3: Cross multiply
    8,147.88x = 12,212.04 × 4,201.02
  4. Step 4: Simplify right side
    8,147.88x = 51,303,024.28
  5. Step 5: Solve for x
    x = 51,303,024.28/8,147.88
  6. Step 6: Final answer
    x = 6,296.49

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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.