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Finding the Fourth Proportional to 3,752.78, 5,629.80 and 1,287.01

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Solution

The fourth proportional to 3,752.78, 5,629.80 and 1,287.01 is: 1,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.78 : 5,629.80 = 1,287.01 : x
  2. Step 2: Convert to fraction form
    3,752.78/5,629.80 = 1,287.01/x
  3. Step 3: Cross multiply
    3,752.78x = 5,629.80 × 1,287.01
  4. Step 4: Simplify right side
    3,752.78x = 7,245,589.09
  5. Step 5: Solve for x
    x = 7,245,589.09/3,752.78
  6. Step 6: Final answer
    x = 1,930.73

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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.