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Finding the Fourth Proportional to 18,429.60, 27,656.76 and 6,744

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Solution

The fourth proportional to 18,429.60, 27,656.76 and 6,744 is: 10,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,429.60 : 27,656.76 = 6,744 : x
  2. Step 2: Convert to fraction form
    18,429.60/27,656.76 = 6,744/x
  3. Step 3: Cross multiply
    18,429.60x = 27,656.76 × 6,744
  4. Step 4: Simplify right side
    18,429.60x = 186,517,189.44
  5. Step 5: Solve for x
    x = 186,517,189.44/18,429.60
  6. Step 6: Final answer
    x = 10,120.52

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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.