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Finding the Fourth Proportional to 13,834, 20,751.54 and 5,518

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Solution

The fourth proportional to 13,834, 20,751.54 and 5,518 is: 8,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,751.54 = 5,518 : x
  2. Step 2: Convert to fraction form
    13,834/20,751.54 = 5,518/x
  3. Step 3: Cross multiply
    13,834x = 20,751.54 × 5,518
  4. Step 4: Simplify right side
    13,834x = 114,506,997.72
  5. Step 5: Solve for x
    x = 114,506,997.72/13,834
  6. Step 6: Final answer
    x = 8,277.22

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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.