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Finding the Fourth Proportional to 1,829.43, 2,745.05 and 905.76

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Solution

The fourth proportional to 1,829.43, 2,745.05 and 905.76 is: 1,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.43 : 2,745.05 = 905.76 : x
  2. Step 2: Convert to fraction form
    1,829.43/2,745.05 = 905.76/x
  3. Step 3: Cross multiply
    1,829.43x = 2,745.05 × 905.76
  4. Step 4: Simplify right side
    1,829.43x = 2,486,351.96
  5. Step 5: Solve for x
    x = 2,486,351.96/1,829.43
  6. Step 6: Final answer
    x = 1,359.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.