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Finding the Fourth Proportional to 3,427.78, 5,142.58 and 1,783.84

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Solution

The fourth proportional to 3,427.78, 5,142.58 and 1,783.84 is: 2,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.78 : 5,142.58 = 1,783.84 : x
  2. Step 2: Convert to fraction form
    3,427.78/5,142.58 = 1,783.84/x
  3. Step 3: Cross multiply
    3,427.78x = 5,142.58 × 1,783.84
  4. Step 4: Simplify right side
    3,427.78x = 9,173,539.91
  5. Step 5: Solve for x
    x = 9,173,539.91/3,427.78
  6. Step 6: Final answer
    x = 2,676.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.