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Finding the Fourth Proportional to 3,779.60, 5,669.40 and 2,734.70

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Solution

The fourth proportional to 3,779.60, 5,669.40 and 2,734.70 is: 4,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.60 : 5,669.40 = 2,734.70 : x
  2. Step 2: Convert to fraction form
    3,779.60/5,669.40 = 2,734.70/x
  3. Step 3: Cross multiply
    3,779.60x = 5,669.40 × 2,734.70
  4. Step 4: Simplify right side
    3,779.60x = 15,504,108.18
  5. Step 5: Solve for x
    x = 15,504,108.18/3,779.60
  6. Step 6: Final answer
    x = 4,102.05

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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.