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Finding the Fourth Proportional to 2,783.90, 4,176.56 and 2,052.22

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Solution

The fourth proportional to 2,783.90, 4,176.56 and 2,052.22 is: 3,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.90 : 4,176.56 = 2,052.22 : x
  2. Step 2: Convert to fraction form
    2,783.90/4,176.56 = 2,052.22/x
  3. Step 3: Cross multiply
    2,783.90x = 4,176.56 × 2,052.22
  4. Step 4: Simplify right side
    2,783.90x = 8,571,219.96
  5. Step 5: Solve for x
    x = 8,571,219.96/2,783.90
  6. Step 6: Final answer
    x = 3,078.85

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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.