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Finding the Fourth Proportional to 11,420.20, 17,114.30 and 9,084.20

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Solution

The fourth proportional to 11,420.20, 17,114.30 and 9,084.20 is: 13,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.20 : 17,114.30 = 9,084.20 : x
  2. Step 2: Convert to fraction form
    11,420.20/17,114.30 = 9,084.20/x
  3. Step 3: Cross multiply
    11,420.20x = 17,114.30 × 9,084.20
  4. Step 4: Simplify right side
    11,420.20x = 155,469,724.06
  5. Step 5: Solve for x
    x = 155,469,724.06/11,420.20
  6. Step 6: Final answer
    x = 13,613.57

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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.