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Finding the Fourth Proportional to 8,125.32, 12,170.97 and 5,188.68

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Solution

The fourth proportional to 8,125.32, 12,170.97 and 5,188.68 is: 7,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.32 : 12,170.97 = 5,188.68 : x
  2. Step 2: Convert to fraction form
    8,125.32/12,170.97 = 5,188.68/x
  3. Step 3: Cross multiply
    8,125.32x = 12,170.97 × 5,188.68
  4. Step 4: Simplify right side
    8,125.32x = 63,151,268.62
  5. Step 5: Solve for x
    x = 63,151,268.62/8,125.32
  6. Step 6: Final answer
    x = 7,772.16

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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.