Home / 2,135.82-3,200.40-1,440.02

Finding the Fourth Proportional to 2,135.82, 3,200.40 and 1,440.02

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Solution

The fourth proportional to 2,135.82, 3,200.40 and 1,440.02 is: 2,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.82 : 3,200.40 = 1,440.02 : x
  2. Step 2: Convert to fraction form
    2,135.82/3,200.40 = 1,440.02/x
  3. Step 3: Cross multiply
    2,135.82x = 3,200.40 × 1,440.02
  4. Step 4: Simplify right side
    2,135.82x = 4,608,640.01
  5. Step 5: Solve for x
    x = 4,608,640.01/2,135.82
  6. Step 6: Final answer
    x = 2,157.78

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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.