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Finding the Fourth Proportional to 3,947.06, 5,447.32 and 2,950.62

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Solution

The fourth proportional to 3,947.06, 5,447.32 and 2,950.62 is: 4,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.06 : 5,447.32 = 2,950.62 : x
  2. Step 2: Convert to fraction form
    3,947.06/5,447.32 = 2,950.62/x
  3. Step 3: Cross multiply
    3,947.06x = 5,447.32 × 2,950.62
  4. Step 4: Simplify right side
    3,947.06x = 16,072,971.34
  5. Step 5: Solve for x
    x = 16,072,971.34/3,947.06
  6. Step 6: Final answer
    x = 4,072.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.