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Finding the Fourth Proportional to 3,764.97, 5,646.53 and 1,789.71

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Solution

The fourth proportional to 3,764.97, 5,646.53 and 1,789.71 is: 2,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.97 : 5,646.53 = 1,789.71 : x
  2. Step 2: Convert to fraction form
    3,764.97/5,646.53 = 1,789.71/x
  3. Step 3: Cross multiply
    3,764.97x = 5,646.53 × 1,789.71
  4. Step 4: Simplify right side
    3,764.97x = 10,105,642.26
  5. Step 5: Solve for x
    x = 10,105,642.26/3,764.97
  6. Step 6: Final answer
    x = 2,684.12

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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.