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Finding the Fourth Proportional to 5,410.68, 7,464.75 and 3,171.75

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Solution

The fourth proportional to 5,410.68, 7,464.75 and 3,171.75 is: 4,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.68 : 7,464.75 = 3,171.75 : x
  2. Step 2: Convert to fraction form
    5,410.68/7,464.75 = 3,171.75/x
  3. Step 3: Cross multiply
    5,410.68x = 7,464.75 × 3,171.75
  4. Step 4: Simplify right side
    5,410.68x = 23,676,320.81
  5. Step 5: Solve for x
    x = 23,676,320.81/5,410.68
  6. Step 6: Final answer
    x = 4,375.85

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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.