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Finding the Fourth Proportional to 11,310.69, 16,965 and 4,287.69

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Solution

The fourth proportional to 11,310.69, 16,965 and 4,287.69 is: 6,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.69 : 16,965 = 4,287.69 : x
  2. Step 2: Convert to fraction form
    11,310.69/16,965 = 4,287.69/x
  3. Step 3: Cross multiply
    11,310.69x = 16,965 × 4,287.69
  4. Step 4: Simplify right side
    11,310.69x = 72,740,660.85
  5. Step 5: Solve for x
    x = 72,740,660.85/11,310.69
  6. Step 6: Final answer
    x = 6,431.14

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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.