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Finding the Fourth Proportional to 18,440.16, 27,661.80 and 8,059.20

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Solution

The fourth proportional to 18,440.16, 27,661.80 and 8,059.20 is: 12,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,440.16 : 27,661.80 = 8,059.20 : x
  2. Step 2: Convert to fraction form
    18,440.16/27,661.80 = 8,059.20/x
  3. Step 3: Cross multiply
    18,440.16x = 27,661.80 × 8,059.20
  4. Step 4: Simplify right side
    18,440.16x = 222,931,978.56
  5. Step 5: Solve for x
    x = 222,931,978.56/18,440.16
  6. Step 6: Final answer
    x = 12,089.48

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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.