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Finding the Fourth Proportional to 18,462.86, 27,701.20 and 11,072.64

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Solution

The fourth proportional to 18,462.86, 27,701.20 and 11,072.64 is: 16,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.86 : 27,701.20 = 11,072.64 : x
  2. Step 2: Convert to fraction form
    18,462.86/27,701.20 = 11,072.64/x
  3. Step 3: Cross multiply
    18,462.86x = 27,701.20 × 11,072.64
  4. Step 4: Simplify right side
    18,462.86x = 306,725,415.17
  5. Step 5: Solve for x
    x = 306,725,415.17/18,462.86
  6. Step 6: Final answer
    x = 16,613.10

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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.