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Finding the Fourth Proportional to 2,489.64, 3,734.45 and 1,187.16

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Solution

The fourth proportional to 2,489.64, 3,734.45 and 1,187.16 is: 1,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.64 : 3,734.45 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    2,489.64/3,734.45 = 1,187.16/x
  3. Step 3: Cross multiply
    2,489.64x = 3,734.45 × 1,187.16
  4. Step 4: Simplify right side
    2,489.64x = 4,433,383.73
  5. Step 5: Solve for x
    x = 4,433,383.73/2,489.64
  6. Step 6: Final answer
    x = 1,780.73

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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.