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Finding the Fourth Proportional to 10,861.56, 16,267.02 and 7,932.60

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Solution

The fourth proportional to 10,861.56, 16,267.02 and 7,932.60 is: 11,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.56 : 16,267.02 = 7,932.60 : x
  2. Step 2: Convert to fraction form
    10,861.56/16,267.02 = 7,932.60/x
  3. Step 3: Cross multiply
    10,861.56x = 16,267.02 × 7,932.60
  4. Step 4: Simplify right side
    10,861.56x = 129,039,762.85
  5. Step 5: Solve for x
    x = 129,039,762.85/10,861.56
  6. Step 6: Final answer
    x = 11,880.41

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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.