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Finding the Fourth Proportional to 2,780.78, 3,836.90 and 1,661.30

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Solution

The fourth proportional to 2,780.78, 3,836.90 and 1,661.30 is: 2,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.78 : 3,836.90 = 1,661.30 : x
  2. Step 2: Convert to fraction form
    2,780.78/3,836.90 = 1,661.30/x
  3. Step 3: Cross multiply
    2,780.78x = 3,836.90 × 1,661.30
  4. Step 4: Simplify right side
    2,780.78x = 6,374,241.97
  5. Step 5: Solve for x
    x = 6,374,241.97/2,780.78
  6. Step 6: Final answer
    x = 2,292.25

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