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Finding the Fourth Proportional to 11,378.20, 17,084.90 and 6,194.20

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Solution

The fourth proportional to 11,378.20, 17,084.90 and 6,194.20 is: 9,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.20 : 17,084.90 = 6,194.20 : x
  2. Step 2: Convert to fraction form
    11,378.20/17,084.90 = 6,194.20/x
  3. Step 3: Cross multiply
    11,378.20x = 17,084.90 × 6,194.20
  4. Step 4: Simplify right side
    11,378.20x = 105,827,287.58
  5. Step 5: Solve for x
    x = 105,827,287.58/11,378.20
  6. Step 6: Final answer
    x = 9,300.88

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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.