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Finding the Fourth Proportional to 23,186.64, 31,997 and 13,250

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Solution

The fourth proportional to 23,186.64, 31,997 and 13,250 is: 18,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.64 : 31,997 = 13,250 : x
  2. Step 2: Convert to fraction form
    23,186.64/31,997 = 13,250/x
  3. Step 3: Cross multiply
    23,186.64x = 31,997 × 13,250
  4. Step 4: Simplify right side
    23,186.64x = 423,960,250
  5. Step 5: Solve for x
    x = 423,960,250/23,186.64
  6. Step 6: Final answer
    x = 18,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.