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Finding the Fourth Proportional to 8,191.25, 12,286.88 and 2,719.25

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Solution

The fourth proportional to 8,191.25, 12,286.88 and 2,719.25 is: 4,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.25 : 12,286.88 = 2,719.25 : x
  2. Step 2: Convert to fraction form
    8,191.25/12,286.88 = 2,719.25/x
  3. Step 3: Cross multiply
    8,191.25x = 12,286.88 × 2,719.25
  4. Step 4: Simplify right side
    8,191.25x = 33,411,084.84
  5. Step 5: Solve for x
    x = 33,411,084.84/8,191.25
  6. Step 6: Final answer
    x = 4,078.88

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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.