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Finding the Fourth Proportional to 11,801.69, 17,708 and 6,257.64

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Solution

The fourth proportional to 11,801.69, 17,708 and 6,257.64 is: 9,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.69 : 17,708 = 6,257.64 : x
  2. Step 2: Convert to fraction form
    11,801.69/17,708 = 6,257.64/x
  3. Step 3: Cross multiply
    11,801.69x = 17,708 × 6,257.64
  4. Step 4: Simplify right side
    11,801.69x = 110,810,289.12
  5. Step 5: Solve for x
    x = 110,810,289.12/11,801.69
  6. Step 6: Final answer
    x = 9,389.36

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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.