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Finding the Fourth Proportional to 13,861.98, 20,793.06 and 5,542.70

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Solution

The fourth proportional to 13,861.98, 20,793.06 and 5,542.70 is: 8,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.98 : 20,793.06 = 5,542.70 : x
  2. Step 2: Convert to fraction form
    13,861.98/20,793.06 = 5,542.70/x
  3. Step 3: Cross multiply
    13,861.98x = 20,793.06 × 5,542.70
  4. Step 4: Simplify right side
    13,861.98x = 115,249,589.70
  5. Step 5: Solve for x
    x = 115,249,589.70/13,861.98
  6. Step 6: Final answer
    x = 8,314.08

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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.