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Finding the Fourth Proportional to 3,447.94, 5,171.14 and 982.70

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Solution

The fourth proportional to 3,447.94, 5,171.14 and 982.70 is: 1,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.94 : 5,171.14 = 982.70 : x
  2. Step 2: Convert to fraction form
    3,447.94/5,171.14 = 982.70/x
  3. Step 3: Cross multiply
    3,447.94x = 5,171.14 × 982.70
  4. Step 4: Simplify right side
    3,447.94x = 5,081,679.28
  5. Step 5: Solve for x
    x = 5,081,679.28/3,447.94
  6. Step 6: Final answer
    x = 1,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.