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Finding the Fourth Proportional to 3,993.57, 5,992.29 and 1,655.37

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Solution

The fourth proportional to 3,993.57, 5,992.29 and 1,655.37 is: 2,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.57 : 5,992.29 = 1,655.37 : x
  2. Step 2: Convert to fraction form
    3,993.57/5,992.29 = 1,655.37/x
  3. Step 3: Cross multiply
    3,993.57x = 5,992.29 × 1,655.37
  4. Step 4: Simplify right side
    3,993.57x = 9,919,457.10
  5. Step 5: Solve for x
    x = 9,919,457.10/3,993.57
  6. Step 6: Final answer
    x = 2,483.86

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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.