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Finding the Fourth Proportional to 1,481.28, 2,043 and 1,381.92

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Solution

The fourth proportional to 1,481.28, 2,043 and 1,381.92 is: 1,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.28 : 2,043 = 1,381.92 : x
  2. Step 2: Convert to fraction form
    1,481.28/2,043 = 1,381.92/x
  3. Step 3: Cross multiply
    1,481.28x = 2,043 × 1,381.92
  4. Step 4: Simplify right side
    1,481.28x = 2,823,262.56
  5. Step 5: Solve for x
    x = 2,823,262.56/1,481.28
  6. Step 6: Final answer
    x = 1,905.96

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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.