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Finding the Fourth Proportional to 18,825.80, 25,978.66 and 10,867.55

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Solution

The fourth proportional to 18,825.80, 25,978.66 and 10,867.55 is: 14,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.80 : 25,978.66 = 10,867.55 : x
  2. Step 2: Convert to fraction form
    18,825.80/25,978.66 = 10,867.55/x
  3. Step 3: Cross multiply
    18,825.80x = 25,978.66 × 10,867.55
  4. Step 4: Simplify right side
    18,825.80x = 282,324,229.42
  5. Step 5: Solve for x
    x = 282,324,229.42/18,825.80
  6. Step 6: Final answer
    x = 14,996.67

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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.