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Finding the Fourth Proportional to 20,850.32, 28,773.54 and 11,898

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Solution

The fourth proportional to 20,850.32, 28,773.54 and 11,898 is: 16,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.32 : 28,773.54 = 11,898 : x
  2. Step 2: Convert to fraction form
    20,850.32/28,773.54 = 11,898/x
  3. Step 3: Cross multiply
    20,850.32x = 28,773.54 × 11,898
  4. Step 4: Simplify right side
    20,850.32x = 342,347,578.92
  5. Step 5: Solve for x
    x = 342,347,578.92/20,850.32
  6. Step 6: Final answer
    x = 16,419.30

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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.