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Finding the Fourth Proportional to 10,961.08, 16,447.02 and 5,116.84

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Solution

The fourth proportional to 10,961.08, 16,447.02 and 5,116.84 is: 7,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.08 : 16,447.02 = 5,116.84 : x
  2. Step 2: Convert to fraction form
    10,961.08/16,447.02 = 5,116.84/x
  3. Step 3: Cross multiply
    10,961.08x = 16,447.02 × 5,116.84
  4. Step 4: Simplify right side
    10,961.08x = 84,156,769.82
  5. Step 5: Solve for x
    x = 84,156,769.82/10,961.08
  6. Step 6: Final answer
    x = 7,677.78

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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.