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Finding the Fourth Proportional to 8,542.12, 12,813.72 and 3,611.11

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Solution

The fourth proportional to 8,542.12, 12,813.72 and 3,611.11 is: 5,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.12 : 12,813.72 = 3,611.11 : x
  2. Step 2: Convert to fraction form
    8,542.12/12,813.72 = 3,611.11/x
  3. Step 3: Cross multiply
    8,542.12x = 12,813.72 × 3,611.11
  4. Step 4: Simplify right side
    8,542.12x = 46,271,706.85
  5. Step 5: Solve for x
    x = 46,271,706.85/8,542.12
  6. Step 6: Final answer
    x = 5,416.89

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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.