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Finding the Fourth Proportional to 3,579.69, 5,371.23 and 1,729.77

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Solution

The fourth proportional to 3,579.69, 5,371.23 and 1,729.77 is: 2,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.69 : 5,371.23 = 1,729.77 : x
  2. Step 2: Convert to fraction form
    3,579.69/5,371.23 = 1,729.77/x
  3. Step 3: Cross multiply
    3,579.69x = 5,371.23 × 1,729.77
  4. Step 4: Simplify right side
    3,579.69x = 9,290,992.52
  5. Step 5: Solve for x
    x = 9,290,992.52/3,579.69
  6. Step 6: Final answer
    x = 2,595.47

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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.