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Finding the Fourth Proportional to 1,380.76, 1,905.09 and 1,359.97

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Solution

The fourth proportional to 1,380.76, 1,905.09 and 1,359.97 is: 1,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.76 : 1,905.09 = 1,359.97 : x
  2. Step 2: Convert to fraction form
    1,380.76/1,905.09 = 1,359.97/x
  3. Step 3: Cross multiply
    1,380.76x = 1,905.09 × 1,359.97
  4. Step 4: Simplify right side
    1,380.76x = 2,590,865.25
  5. Step 5: Solve for x
    x = 2,590,865.25/1,380.76
  6. Step 6: Final answer
    x = 1,876.41

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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.