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Finding the Fourth Proportional to 8,131.61, 12,201.96 and 8,069.64

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Solution

The fourth proportional to 8,131.61, 12,201.96 and 8,069.64 is: 12,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.61 : 12,201.96 = 8,069.64 : x
  2. Step 2: Convert to fraction form
    8,131.61/12,201.96 = 8,069.64/x
  3. Step 3: Cross multiply
    8,131.61x = 12,201.96 × 8,069.64
  4. Step 4: Simplify right side
    8,131.61x = 98,465,424.49
  5. Step 5: Solve for x
    x = 98,465,424.49/8,131.61
  6. Step 6: Final answer
    x = 12,108.98

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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.