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Finding the Fourth Proportional to 1,380.36, 1,906.02 and 939.72

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Solution

The fourth proportional to 1,380.36, 1,906.02 and 939.72 is: 1,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.36 : 1,906.02 = 939.72 : x
  2. Step 2: Convert to fraction form
    1,380.36/1,906.02 = 939.72/x
  3. Step 3: Cross multiply
    1,380.36x = 1,906.02 × 939.72
  4. Step 4: Simplify right side
    1,380.36x = 1,791,125.11
  5. Step 5: Solve for x
    x = 1,791,125.11/1,380.36
  6. Step 6: Final answer
    x = 1,297.58

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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.