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Finding the Fourth Proportional to 18,426.76, 27,644.29 and 6,739.88

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Solution

The fourth proportional to 18,426.76, 27,644.29 and 6,739.88 is: 10,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,426.76 : 27,644.29 = 6,739.88 : x
  2. Step 2: Convert to fraction form
    18,426.76/27,644.29 = 6,739.88/x
  3. Step 3: Cross multiply
    18,426.76x = 27,644.29 × 6,739.88
  4. Step 4: Simplify right side
    18,426.76x = 186,319,042.21
  5. Step 5: Solve for x
    x = 186,319,042.21/18,426.76
  6. Step 6: Final answer
    x = 10,111.33

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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.