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Finding the Fourth Proportional to 12,202.77, 16,834.23 and 7,166.90

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Solution

The fourth proportional to 12,202.77, 16,834.23 and 7,166.90 is: 9,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.77 : 16,834.23 = 7,166.90 : x
  2. Step 2: Convert to fraction form
    12,202.77/16,834.23 = 7,166.90/x
  3. Step 3: Cross multiply
    12,202.77x = 16,834.23 × 7,166.90
  4. Step 4: Simplify right side
    12,202.77x = 120,649,242.99
  5. Step 5: Solve for x
    x = 120,649,242.99/12,202.77
  6. Step 6: Final answer
    x = 9,887.04

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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.