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Finding the Fourth Proportional to 20,014, 27,619.32 and 11,182

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Solution

The fourth proportional to 20,014, 27,619.32 and 11,182 is: 15,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014 : 27,619.32 = 11,182 : x
  2. Step 2: Convert to fraction form
    20,014/27,619.32 = 11,182/x
  3. Step 3: Cross multiply
    20,014x = 27,619.32 × 11,182
  4. Step 4: Simplify right side
    20,014x = 308,839,236.24
  5. Step 5: Solve for x
    x = 308,839,236.24/20,014
  6. Step 6: Final answer
    x = 15,431.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.