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Finding the Fourth Proportional to 10,911, 15,057.50 and 5,943.32

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Solution

The fourth proportional to 10,911, 15,057.50 and 5,943.32 is: 8,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911 : 15,057.50 = 5,943.32 : x
  2. Step 2: Convert to fraction form
    10,911/15,057.50 = 5,943.32/x
  3. Step 3: Cross multiply
    10,911x = 15,057.50 × 5,943.32
  4. Step 4: Simplify right side
    10,911x = 89,491,540.90
  5. Step 5: Solve for x
    x = 89,491,540.90/10,911
  6. Step 6: Final answer
    x = 8,201.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.