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Finding the Fourth Proportional to 8,267.64, 12,327.34 and 8,120.02

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Solution

The fourth proportional to 8,267.64, 12,327.34 and 8,120.02 is: 12,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.64 : 12,327.34 = 8,120.02 : x
  2. Step 2: Convert to fraction form
    8,267.64/12,327.34 = 8,120.02/x
  3. Step 3: Cross multiply
    8,267.64x = 12,327.34 × 8,120.02
  4. Step 4: Simplify right side
    8,267.64x = 100,098,247.35
  5. Step 5: Solve for x
    x = 100,098,247.35/8,267.64
  6. Step 6: Final answer
    x = 12,107.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.