Home / 3,766.50-5,646-1,817.64

Finding the Fourth Proportional to 3,766.50, 5,646 and 1,817.64

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Solution

The fourth proportional to 3,766.50, 5,646 and 1,817.64 is: 2,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 5,646 = 1,817.64 : x
  2. Step 2: Convert to fraction form
    3,766.50/5,646 = 1,817.64/x
  3. Step 3: Cross multiply
    3,766.50x = 5,646 × 1,817.64
  4. Step 4: Simplify right side
    3,766.50x = 10,262,395.44
  5. Step 5: Solve for x
    x = 10,262,395.44/3,766.50
  6. Step 6: Final answer
    x = 2,724.65

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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.