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Finding the Fourth Proportional to 8,180.64, 12,272.64 and 2,632.32

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Solution

The fourth proportional to 8,180.64, 12,272.64 and 2,632.32 is: 3,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.64 : 12,272.64 = 2,632.32 : x
  2. Step 2: Convert to fraction form
    8,180.64/12,272.64 = 2,632.32/x
  3. Step 3: Cross multiply
    8,180.64x = 12,272.64 × 2,632.32
  4. Step 4: Simplify right side
    8,180.64x = 32,305,515.72
  5. Step 5: Solve for x
    x = 32,305,515.72/8,180.64
  6. Step 6: Final answer
    x = 3,949.02

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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.