Home / 2,120.90-3,181.86-734.22

Finding the Fourth Proportional to 2,120.90, 3,181.86 and 734.22

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Solution

The fourth proportional to 2,120.90, 3,181.86 and 734.22 is: 1,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.90 : 3,181.86 = 734.22 : x
  2. Step 2: Convert to fraction form
    2,120.90/3,181.86 = 734.22/x
  3. Step 3: Cross multiply
    2,120.90x = 3,181.86 × 734.22
  4. Step 4: Simplify right side
    2,120.90x = 2,336,185.25
  5. Step 5: Solve for x
    x = 2,336,185.25/2,120.90
  6. Step 6: Final answer
    x = 1,101.51

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1.5x scale

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.