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Finding the Fourth Proportional to 1,481.75, 2,046.03 and 1,129.40

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Solution

The fourth proportional to 1,481.75, 2,046.03 and 1,129.40 is: 1,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.75 : 2,046.03 = 1,129.40 : x
  2. Step 2: Convert to fraction form
    1,481.75/2,046.03 = 1,129.40/x
  3. Step 3: Cross multiply
    1,481.75x = 2,046.03 × 1,129.40
  4. Step 4: Simplify right side
    1,481.75x = 2,310,786.28
  5. Step 5: Solve for x
    x = 2,310,786.28/1,481.75
  6. Step 6: Final answer
    x = 1,559.50

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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.