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Finding the Fourth Proportional to 18,640.50, 25,723.90 and 10,257

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Solution

The fourth proportional to 18,640.50, 25,723.90 and 10,257 is: 14,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.50 : 25,723.90 = 10,257 : x
  2. Step 2: Convert to fraction form
    18,640.50/25,723.90 = 10,257/x
  3. Step 3: Cross multiply
    18,640.50x = 25,723.90 × 10,257
  4. Step 4: Simplify right side
    18,640.50x = 263,850,042.30
  5. Step 5: Solve for x
    x = 263,850,042.30/18,640.50
  6. Step 6: Final answer
    x = 14,154.67

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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.