Home / 3,952-5,922.85-1,609.27

Finding the Fourth Proportional to 3,952, 5,922.85 and 1,609.27

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Solution

The fourth proportional to 3,952, 5,922.85 and 1,609.27 is: 2,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952 : 5,922.85 = 1,609.27 : x
  2. Step 2: Convert to fraction form
    3,952/5,922.85 = 1,609.27/x
  3. Step 3: Cross multiply
    3,952x = 5,922.85 × 1,609.27
  4. Step 4: Simplify right side
    3,952x = 9,531,464.82
  5. Step 5: Solve for x
    x = 9,531,464.82/3,952
  6. Step 6: Final answer
    x = 2,411.81

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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.