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Finding the Fourth Proportional to 3,966.71, 5,945.81 and 1,772.42

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Solution

The fourth proportional to 3,966.71, 5,945.81 and 1,772.42 is: 2,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.71 : 5,945.81 = 1,772.42 : x
  2. Step 2: Convert to fraction form
    3,966.71/5,945.81 = 1,772.42/x
  3. Step 3: Cross multiply
    3,966.71x = 5,945.81 × 1,772.42
  4. Step 4: Simplify right side
    3,966.71x = 10,538,433.97
  5. Step 5: Solve for x
    x = 10,538,433.97/3,966.71
  6. Step 6: Final answer
    x = 2,656.72

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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.