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Finding the Fourth Proportional to 12,770.92, 17,611.50 and 8,522.16

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Solution

The fourth proportional to 12,770.92, 17,611.50 and 8,522.16 is: 11,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.92 : 17,611.50 = 8,522.16 : x
  2. Step 2: Convert to fraction form
    12,770.92/17,611.50 = 8,522.16/x
  3. Step 3: Cross multiply
    12,770.92x = 17,611.50 × 8,522.16
  4. Step 4: Simplify right side
    12,770.92x = 150,087,986.75
  5. Step 5: Solve for x
    x = 150,087,986.75/12,770.92
  6. Step 6: Final answer
    x = 11,752.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.