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Finding the Fourth Proportional to 6,171.88, 8,505.54 and 5,049.40

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Solution

The fourth proportional to 6,171.88, 8,505.54 and 5,049.40 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.88 : 8,505.54 = 5,049.40 : x
  2. Step 2: Convert to fraction form
    6,171.88/8,505.54 = 5,049.40/x
  3. Step 3: Cross multiply
    6,171.88x = 8,505.54 × 5,049.40
  4. Step 4: Simplify right side
    6,171.88x = 42,947,873.68
  5. Step 5: Solve for x
    x = 42,947,873.68/6,171.88
  6. Step 6: Final answer
    x = 6,958.64

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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.