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Finding the Fourth Proportional to 3,765.82, 5,652.18 and 1,918.26

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Solution

The fourth proportional to 3,765.82, 5,652.18 and 1,918.26 is: 2,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.82 : 5,652.18 = 1,918.26 : x
  2. Step 2: Convert to fraction form
    3,765.82/5,652.18 = 1,918.26/x
  3. Step 3: Cross multiply
    3,765.82x = 5,652.18 × 1,918.26
  4. Step 4: Simplify right side
    3,765.82x = 10,842,350.81
  5. Step 5: Solve for x
    x = 10,842,350.81/3,765.82
  6. Step 6: Final answer
    x = 2,879.15

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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.