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Finding the Fourth Proportional to 1,481.06, 2,043.83 and 817.90

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Solution

The fourth proportional to 1,481.06, 2,043.83 and 817.90 is: 1,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.06 : 2,043.83 = 817.90 : x
  2. Step 2: Convert to fraction form
    1,481.06/2,043.83 = 817.90/x
  3. Step 3: Cross multiply
    1,481.06x = 2,043.83 × 817.90
  4. Step 4: Simplify right side
    1,481.06x = 1,671,638.34
  5. Step 5: Solve for x
    x = 1,671,638.34/1,481.06
  6. Step 6: Final answer
    x = 1,128.68

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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.