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Finding the Fourth Proportional to 3,447.14, 5,169.17 and 981.39

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Solution

The fourth proportional to 3,447.14, 5,169.17 and 981.39 is: 1,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.14 : 5,169.17 = 981.39 : x
  2. Step 2: Convert to fraction form
    3,447.14/5,169.17 = 981.39/x
  3. Step 3: Cross multiply
    3,447.14x = 5,169.17 × 981.39
  4. Step 4: Simplify right side
    3,447.14x = 5,072,971.75
  5. Step 5: Solve for x
    x = 5,072,971.75/3,447.14
  6. Step 6: Final answer
    x = 1,471.65

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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.