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Finding the Fourth Proportional to 10,976.67, 16,455.29 and 8,199.99

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Solution

The fourth proportional to 10,976.67, 16,455.29 and 8,199.99 is: 12,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.67 : 16,455.29 = 8,199.99 : x
  2. Step 2: Convert to fraction form
    10,976.67/16,455.29 = 8,199.99/x
  3. Step 3: Cross multiply
    10,976.67x = 16,455.29 × 8,199.99
  4. Step 4: Simplify right side
    10,976.67x = 134,933,172.45
  5. Step 5: Solve for x
    x = 134,933,172.45/10,976.67
  6. Step 6: Final answer
    x = 12,292.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.