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Finding the Fourth Proportional to 18,978.87, 26,188.85 and 11,019.54

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Solution

The fourth proportional to 18,978.87, 26,188.85 and 11,019.54 is: 15,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.87 : 26,188.85 = 11,019.54 : x
  2. Step 2: Convert to fraction form
    18,978.87/26,188.85 = 11,019.54/x
  3. Step 3: Cross multiply
    18,978.87x = 26,188.85 × 11,019.54
  4. Step 4: Simplify right side
    18,978.87x = 288,589,025.03
  5. Step 5: Solve for x
    x = 288,589,025.03/18,978.87
  6. Step 6: Final answer
    x = 15,205.81

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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.