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Finding the Fourth Proportional to 10,800.74, 16,201.12 and 6,180.50

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Solution

The fourth proportional to 10,800.74, 16,201.12 and 6,180.50 is: 9,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.74 : 16,201.12 = 6,180.50 : x
  2. Step 2: Convert to fraction form
    10,800.74/16,201.12 = 6,180.50/x
  3. Step 3: Cross multiply
    10,800.74x = 16,201.12 × 6,180.50
  4. Step 4: Simplify right side
    10,800.74x = 100,131,022.16
  5. Step 5: Solve for x
    x = 100,131,022.16/10,800.74
  6. Step 6: Final answer
    x = 9,270.76

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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.