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Finding the Fourth Proportional to 14,540.18, 21,813.92 and 5,772.20

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Solution

The fourth proportional to 14,540.18, 21,813.92 and 5,772.20 is: 8,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.18 : 21,813.92 = 5,772.20 : x
  2. Step 2: Convert to fraction form
    14,540.18/21,813.92 = 5,772.20/x
  3. Step 3: Cross multiply
    14,540.18x = 21,813.92 × 5,772.20
  4. Step 4: Simplify right side
    14,540.18x = 125,914,309.02
  5. Step 5: Solve for x
    x = 125,914,309.02/14,540.18
  6. Step 6: Final answer
    x = 8,659.75

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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.