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Finding the Fourth Proportional to 3,873.46, 5,805.43 and 1,790.65

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Solution

The fourth proportional to 3,873.46, 5,805.43 and 1,790.65 is: 2,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.46 : 5,805.43 = 1,790.65 : x
  2. Step 2: Convert to fraction form
    3,873.46/5,805.43 = 1,790.65/x
  3. Step 3: Cross multiply
    3,873.46x = 5,805.43 × 1,790.65
  4. Step 4: Simplify right side
    3,873.46x = 10,395,493.23
  5. Step 5: Solve for x
    x = 10,395,493.23/3,873.46
  6. Step 6: Final answer
    x = 2,683.77

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1.5x scale

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.