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Finding the Fourth Proportional to 3,945.17, 5,914.63 and 1,969.78

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Solution

The fourth proportional to 3,945.17, 5,914.63 and 1,969.78 is: 2,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.17 : 5,914.63 = 1,969.78 : x
  2. Step 2: Convert to fraction form
    3,945.17/5,914.63 = 1,969.78/x
  3. Step 3: Cross multiply
    3,945.17x = 5,914.63 × 1,969.78
  4. Step 4: Simplify right side
    3,945.17x = 11,650,519.88
  5. Step 5: Solve for x
    x = 11,650,519.88/3,945.17
  6. Step 6: Final answer
    x = 2,953.11

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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.