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Finding the Fourth Proportional to 3,966.64, 5,939.01 and 2,989.78

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Solution

The fourth proportional to 3,966.64, 5,939.01 and 2,989.78 is: 4,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.64 : 5,939.01 = 2,989.78 : x
  2. Step 2: Convert to fraction form
    3,966.64/5,939.01 = 2,989.78/x
  3. Step 3: Cross multiply
    3,966.64x = 5,939.01 × 2,989.78
  4. Step 4: Simplify right side
    3,966.64x = 17,756,333.32
  5. Step 5: Solve for x
    x = 17,756,333.32/3,966.64
  6. Step 6: Final answer
    x = 4,476.42

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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.