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Finding the Fourth Proportional to 18,480.10, 27,724.20 and 9,124.60

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Solution

The fourth proportional to 18,480.10, 27,724.20 and 9,124.60 is: 13,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480.10 : 27,724.20 = 9,124.60 : x
  2. Step 2: Convert to fraction form
    18,480.10/27,724.20 = 9,124.60/x
  3. Step 3: Cross multiply
    18,480.10x = 27,724.20 × 9,124.60
  4. Step 4: Simplify right side
    18,480.10x = 252,972,235.32
  5. Step 5: Solve for x
    x = 252,972,235.32/18,480.10
  6. Step 6: Final answer
    x = 13,688.90

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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.