Home / 2,120.76-3,181.08-734.05

Finding the Fourth Proportional to 2,120.76, 3,181.08 and 734.05

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Solution

The fourth proportional to 2,120.76, 3,181.08 and 734.05 is: 1,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.76 : 3,181.08 = 734.05 : x
  2. Step 2: Convert to fraction form
    2,120.76/3,181.08 = 734.05/x
  3. Step 3: Cross multiply
    2,120.76x = 3,181.08 × 734.05
  4. Step 4: Simplify right side
    2,120.76x = 2,335,071.77
  5. Step 5: Solve for x
    x = 2,335,071.77/2,120.76
  6. Step 6: Final answer
    x = 1,101.05

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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.