Home / 3,833.14-5,746.78-1,983.09

Finding the Fourth Proportional to 3,833.14, 5,746.78 and 1,983.09

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Solution

The fourth proportional to 3,833.14, 5,746.78 and 1,983.09 is: 2,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.14 : 5,746.78 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    3,833.14/5,746.78 = 1,983.09/x
  3. Step 3: Cross multiply
    3,833.14x = 5,746.78 × 1,983.09
  4. Step 4: Simplify right side
    3,833.14x = 11,396,381.95
  5. Step 5: Solve for x
    x = 11,396,381.95/3,833.14
  6. Step 6: Final answer
    x = 2,973.12

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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.