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Finding the Fourth Proportional to 18,478.10, 27,721.20 and 9,122.60

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Solution

The fourth proportional to 18,478.10, 27,721.20 and 9,122.60 is: 13,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478.10 : 27,721.20 = 9,122.60 : x
  2. Step 2: Convert to fraction form
    18,478.10/27,721.20 = 9,122.60/x
  3. Step 3: Cross multiply
    18,478.10x = 27,721.20 × 9,122.60
  4. Step 4: Simplify right side
    18,478.10x = 252,889,419.12
  5. Step 5: Solve for x
    x = 252,889,419.12/18,478.10
  6. Step 6: Final answer
    x = 13,685.90

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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.