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Finding the Fourth Proportional to 1,849.78, 2,772.28 and 873.73

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Solution

The fourth proportional to 1,849.78, 2,772.28 and 873.73 is: 1,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.78 : 2,772.28 = 873.73 : x
  2. Step 2: Convert to fraction form
    1,849.78/2,772.28 = 873.73/x
  3. Step 3: Cross multiply
    1,849.78x = 2,772.28 × 873.73
  4. Step 4: Simplify right side
    1,849.78x = 2,422,224.20
  5. Step 5: Solve for x
    x = 2,422,224.20/1,849.78
  6. Step 6: Final answer
    x = 1,309.47

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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.