Home / 2,142.40-3,234.16-2,120.80

Finding the Fourth Proportional to 2,142.40, 3,234.16 and 2,120.80

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Solution

The fourth proportional to 2,142.40, 3,234.16 and 2,120.80 is: 3,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.40 : 3,234.16 = 2,120.80 : x
  2. Step 2: Convert to fraction form
    2,142.40/3,234.16 = 2,120.80/x
  3. Step 3: Cross multiply
    2,142.40x = 3,234.16 × 2,120.80
  4. Step 4: Simplify right side
    2,142.40x = 6,859,006.53
  5. Step 5: Solve for x
    x = 6,859,006.53/2,142.40
  6. Step 6: Final answer
    x = 3,201.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.