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Finding the Fourth Proportional to 2,285, 3,149.64 and 1,805.66

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Solution

The fourth proportional to 2,285, 3,149.64 and 1,805.66 is: 2,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285 : 3,149.64 = 1,805.66 : x
  2. Step 2: Convert to fraction form
    2,285/3,149.64 = 1,805.66/x
  3. Step 3: Cross multiply
    2,285x = 3,149.64 × 1,805.66
  4. Step 4: Simplify right side
    2,285x = 5,687,178.96
  5. Step 5: Solve for x
    x = 5,687,178.96/2,285
  6. Step 6: Final answer
    x = 2,488.92

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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.