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Finding the Fourth Proportional to 23,185, 31,995.30 and 13,249

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Solution

The fourth proportional to 23,185, 31,995.30 and 13,249 is: 18,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185 : 31,995.30 = 13,249 : x
  2. Step 2: Convert to fraction form
    23,185/31,995.30 = 13,249/x
  3. Step 3: Cross multiply
    23,185x = 31,995.30 × 13,249
  4. Step 4: Simplify right side
    23,185x = 423,905,729.70
  5. Step 5: Solve for x
    x = 423,905,729.70/23,185
  6. Step 6: Final answer
    x = 18,283.62

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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.