Home / 2,129.40-3,194.68-742.82

Finding the Fourth Proportional to 2,129.40, 3,194.68 and 742.82

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Solution

The fourth proportional to 2,129.40, 3,194.68 and 742.82 is: 1,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 3,194.68 = 742.82 : x
  2. Step 2: Convert to fraction form
    2,129.40/3,194.68 = 742.82/x
  3. Step 3: Cross multiply
    2,129.40x = 3,194.68 × 742.82
  4. Step 4: Simplify right side
    2,129.40x = 2,373,072.20
  5. Step 5: Solve for x
    x = 2,373,072.20/2,129.40
  6. Step 6: Final answer
    x = 1,114.43

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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.