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Finding the Fourth Proportional to 2,171.05, 3,258.39 and 939.40

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Solution

The fourth proportional to 2,171.05, 3,258.39 and 939.40 is: 1,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.05 : 3,258.39 = 939.40 : x
  2. Step 2: Convert to fraction form
    2,171.05/3,258.39 = 939.40/x
  3. Step 3: Cross multiply
    2,171.05x = 3,258.39 × 939.40
  4. Step 4: Simplify right side
    2,171.05x = 3,060,926.94
  5. Step 5: Solve for x
    x = 3,060,926.94/2,171.05
  6. Step 6: Final answer
    x = 1,409.88

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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.