Home / 2,734.56-4,102.20-1,638.72

Finding the Fourth Proportional to 2,734.56, 4,102.20 and 1,638.72

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Solution

The fourth proportional to 2,734.56, 4,102.20 and 1,638.72 is: 2,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.56 : 4,102.20 = 1,638.72 : x
  2. Step 2: Convert to fraction form
    2,734.56/4,102.20 = 1,638.72/x
  3. Step 3: Cross multiply
    2,734.56x = 4,102.20 × 1,638.72
  4. Step 4: Simplify right side
    2,734.56x = 6,722,357.18
  5. Step 5: Solve for x
    x = 6,722,357.18/2,734.56
  6. Step 6: Final answer
    x = 2,458.30

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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.