Home / 1,960.20-2,705.76-1,214.64

Finding the Fourth Proportional to 1,960.20, 2,705.76 and 1,214.64

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Solution

The fourth proportional to 1,960.20, 2,705.76 and 1,214.64 is: 1,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.20 : 2,705.76 = 1,214.64 : x
  2. Step 2: Convert to fraction form
    1,960.20/2,705.76 = 1,214.64/x
  3. Step 3: Cross multiply
    1,960.20x = 2,705.76 × 1,214.64
  4. Step 4: Simplify right side
    1,960.20x = 3,286,524.33
  5. Step 5: Solve for x
    x = 3,286,524.33/1,960.20
  6. Step 6: Final answer
    x = 1,676.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.