Home / 3,820-5,727.07-1,844.62

Finding the Fourth Proportional to 3,820, 5,727.07 and 1,844.62

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Solution

The fourth proportional to 3,820, 5,727.07 and 1,844.62 is: 2,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820 : 5,727.07 = 1,844.62 : x
  2. Step 2: Convert to fraction form
    3,820/5,727.07 = 1,844.62/x
  3. Step 3: Cross multiply
    3,820x = 5,727.07 × 1,844.62
  4. Step 4: Simplify right side
    3,820x = 10,564,267.86
  5. Step 5: Solve for x
    x = 10,564,267.86/3,820
  6. Step 6: Final answer
    x = 2,765.52

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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.