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Finding the Fourth Proportional to 11,684, 17,525 and 4,288.16

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Solution

The fourth proportional to 11,684, 17,525 and 4,288.16 is: 6,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684 : 17,525 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    11,684/17,525 = 4,288.16/x
  3. Step 3: Cross multiply
    11,684x = 17,525 × 4,288.16
  4. Step 4: Simplify right side
    11,684x = 75,150,004
  5. Step 5: Solve for x
    x = 75,150,004/11,684
  6. Step 6: Final answer
    x = 6,431.87

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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.