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Finding the Fourth Proportional to 3,809.02, 5,714 and 1,617.43

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Solution

The fourth proportional to 3,809.02, 5,714 and 1,617.43 is: 2,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.02 : 5,714 = 1,617.43 : x
  2. Step 2: Convert to fraction form
    3,809.02/5,714 = 1,617.43/x
  3. Step 3: Cross multiply
    3,809.02x = 5,714 × 1,617.43
  4. Step 4: Simplify right side
    3,809.02x = 9,241,995.02
  5. Step 5: Solve for x
    x = 9,241,995.02/3,809.02
  6. Step 6: Final answer
    x = 2,426.34

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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.