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Finding the Fourth Proportional to 10,583.42, 15,861.38 and 7,930.09

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Solution

The fourth proportional to 10,583.42, 15,861.38 and 7,930.09 is: 11,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.42 : 15,861.38 = 7,930.09 : x
  2. Step 2: Convert to fraction form
    10,583.42/15,861.38 = 7,930.09/x
  3. Step 3: Cross multiply
    10,583.42x = 15,861.38 × 7,930.09
  4. Step 4: Simplify right side
    10,583.42x = 125,782,091.62
  5. Step 5: Solve for x
    x = 125,782,091.62/10,583.42
  6. Step 6: Final answer
    x = 11,884.82

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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.