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Finding the Fourth Proportional to 13,702.28, 20,550.17 and 5,906.84

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Solution

The fourth proportional to 13,702.28, 20,550.17 and 5,906.84 is: 8,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.28 : 20,550.17 = 5,906.84 : x
  2. Step 2: Convert to fraction form
    13,702.28/20,550.17 = 5,906.84/x
  3. Step 3: Cross multiply
    13,702.28x = 20,550.17 × 5,906.84
  4. Step 4: Simplify right side
    13,702.28x = 121,386,478.18
  5. Step 5: Solve for x
    x = 121,386,478.18/13,702.28
  6. Step 6: Final answer
    x = 8,858.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.