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Finding the Fourth Proportional to 12,256, 18,327.92 and 9,138.14

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Solution

The fourth proportional to 12,256, 18,327.92 and 9,138.14 is: 13,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 18,327.92 = 9,138.14 : x
  2. Step 2: Convert to fraction form
    12,256/18,327.92 = 9,138.14/x
  3. Step 3: Cross multiply
    12,256x = 18,327.92 × 9,138.14
  4. Step 4: Simplify right side
    12,256x = 167,483,098.87
  5. Step 5: Solve for x
    x = 167,483,098.87/12,256
  6. Step 6: Final answer
    x = 13,665.40

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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.