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Finding the Fourth Proportional to 18,437.82, 27,648.09 and 6,742.86

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Solution

The fourth proportional to 18,437.82, 27,648.09 and 6,742.86 is: 10,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.82 : 27,648.09 = 6,742.86 : x
  2. Step 2: Convert to fraction form
    18,437.82/27,648.09 = 6,742.86/x
  3. Step 3: Cross multiply
    18,437.82x = 27,648.09 × 6,742.86
  4. Step 4: Simplify right side
    18,437.82x = 186,427,200.14
  5. Step 5: Solve for x
    x = 186,427,200.14/18,437.82
  6. Step 6: Final answer
    x = 10,111.13

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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.