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Finding the Fourth Proportional to 13,560.96, 18,717.12 and 8,256

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Solution

The fourth proportional to 13,560.96, 18,717.12 and 8,256 is: 11,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,560.96 : 18,717.12 = 8,256 : x
  2. Step 2: Convert to fraction form
    13,560.96/18,717.12 = 8,256/x
  3. Step 3: Cross multiply
    13,560.96x = 18,717.12 × 8,256
  4. Step 4: Simplify right side
    13,560.96x = 154,528,542.72
  5. Step 5: Solve for x
    x = 154,528,542.72/13,560.96
  6. Step 6: Final answer
    x = 11,395.10

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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.