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Finding the Fourth Proportional to 18,500, 25,530 and 10,116.50

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Solution

The fourth proportional to 18,500, 25,530 and 10,116.50 is: 13,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500 : 25,530 = 10,116.50 : x
  2. Step 2: Convert to fraction form
    18,500/25,530 = 10,116.50/x
  3. Step 3: Cross multiply
    18,500x = 25,530 × 10,116.50
  4. Step 4: Simplify right side
    18,500x = 258,274,245
  5. Step 5: Solve for x
    x = 258,274,245/18,500
  6. Step 6: Final answer
    x = 13,960.77

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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.