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Finding the Fourth Proportional to 7,813.92, 11,720.88 and 3,194.40

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Solution

The fourth proportional to 7,813.92, 11,720.88 and 3,194.40 is: 4,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.92 : 11,720.88 = 3,194.40 : x
  2. Step 2: Convert to fraction form
    7,813.92/11,720.88 = 3,194.40/x
  3. Step 3: Cross multiply
    7,813.92x = 11,720.88 × 3,194.40
  4. Step 4: Simplify right side
    7,813.92x = 37,441,179.07
  5. Step 5: Solve for x
    x = 37,441,179.07/7,813.92
  6. Step 6: Final answer
    x = 4,791.60

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Similar ratio
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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.