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Finding the Fourth Proportional to 12,115.85, 18,173.87 and 10,467.50

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Solution

The fourth proportional to 12,115.85, 18,173.87 and 10,467.50 is: 15,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.85 : 18,173.87 = 10,467.50 : x
  2. Step 2: Convert to fraction form
    12,115.85/18,173.87 = 10,467.50/x
  3. Step 3: Cross multiply
    12,115.85x = 18,173.87 × 10,467.50
  4. Step 4: Simplify right side
    12,115.85x = 190,234,880.27
  5. Step 5: Solve for x
    x = 190,234,880.27/12,115.85
  6. Step 6: Final answer
    x = 15,701.33

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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.