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Finding the Fourth Proportional to 3,850.76, 5,772.79 and 1,873.64

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Solution

The fourth proportional to 3,850.76, 5,772.79 and 1,873.64 is: 2,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.76 : 5,772.79 = 1,873.64 : x
  2. Step 2: Convert to fraction form
    3,850.76/5,772.79 = 1,873.64/x
  3. Step 3: Cross multiply
    3,850.76x = 5,772.79 × 1,873.64
  4. Step 4: Simplify right side
    3,850.76x = 10,816,111.71
  5. Step 5: Solve for x
    x = 10,816,111.71/3,850.76
  6. Step 6: Final answer
    x = 2,808.83

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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.