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Finding the Fourth Proportional to 3,447.78, 5,170.11 and 982.01

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Solution

The fourth proportional to 3,447.78, 5,170.11 and 982.01 is: 1,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.78 : 5,170.11 = 982.01 : x
  2. Step 2: Convert to fraction form
    3,447.78/5,170.11 = 982.01/x
  3. Step 3: Cross multiply
    3,447.78x = 5,170.11 × 982.01
  4. Step 4: Simplify right side
    3,447.78x = 5,077,073.87
  5. Step 5: Solve for x
    x = 5,077,073.87/3,447.78
  6. Step 6: Final answer
    x = 1,472.56

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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.