Home / 3,816.25-5,723.72-1,147.80

Finding the Fourth Proportional to 3,816.25, 5,723.72 and 1,147.80

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Solution

The fourth proportional to 3,816.25, 5,723.72 and 1,147.80 is: 1,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.25 : 5,723.72 = 1,147.80 : x
  2. Step 2: Convert to fraction form
    3,816.25/5,723.72 = 1,147.80/x
  3. Step 3: Cross multiply
    3,816.25x = 5,723.72 × 1,147.80
  4. Step 4: Simplify right side
    3,816.25x = 6,569,685.82
  5. Step 5: Solve for x
    x = 6,569,685.82/3,816.25
  6. Step 6: Final answer
    x = 1,721.50

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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.