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Finding the Fourth Proportional to 2,729.77, 3,765.89 and 1,845.25

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Solution

The fourth proportional to 2,729.77, 3,765.89 and 1,845.25 is: 2,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.77 : 3,765.89 = 1,845.25 : x
  2. Step 2: Convert to fraction form
    2,729.77/3,765.89 = 1,845.25/x
  3. Step 3: Cross multiply
    2,729.77x = 3,765.89 × 1,845.25
  4. Step 4: Simplify right side
    2,729.77x = 6,948,999.30
  5. Step 5: Solve for x
    x = 6,948,999.30/2,729.77
  6. Step 6: Final answer
    x = 2,545.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.