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Finding the Fourth Proportional to 3,873.62, 5,809.75 and 1,099.64

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Solution

The fourth proportional to 3,873.62, 5,809.75 and 1,099.64 is: 1,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.62 : 5,809.75 = 1,099.64 : x
  2. Step 2: Convert to fraction form
    3,873.62/5,809.75 = 1,099.64/x
  3. Step 3: Cross multiply
    3,873.62x = 5,809.75 × 1,099.64
  4. Step 4: Simplify right side
    3,873.62x = 6,388,637.95
  5. Step 5: Solve for x
    x = 6,388,637.95/3,873.62
  6. Step 6: Final answer
    x = 1,649.27

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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.