Home / 3,972-5,957.96-1,633.28

Finding the Fourth Proportional to 3,972, 5,957.96 and 1,633.28

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Solution

The fourth proportional to 3,972, 5,957.96 and 1,633.28 is: 2,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,957.96 = 1,633.28 : x
  2. Step 2: Convert to fraction form
    3,972/5,957.96 = 1,633.28/x
  3. Step 3: Cross multiply
    3,972x = 5,957.96 × 1,633.28
  4. Step 4: Simplify right side
    3,972x = 9,731,016.91
  5. Step 5: Solve for x
    x = 9,731,016.91/3,972
  6. Step 6: Final answer
    x = 2,449.90

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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.