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Finding the Fourth Proportional to 18,384.96, 27,558.24 and 9,012

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Solution

The fourth proportional to 18,384.96, 27,558.24 and 9,012 is: 13,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.96 : 27,558.24 = 9,012 : x
  2. Step 2: Convert to fraction form
    18,384.96/27,558.24 = 9,012/x
  3. Step 3: Cross multiply
    18,384.96x = 27,558.24 × 9,012
  4. Step 4: Simplify right side
    18,384.96x = 248,354,858.88
  5. Step 5: Solve for x
    x = 248,354,858.88/18,384.96
  6. Step 6: Final answer
    x = 13,508.59

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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.