Home / 2,704.60-3,732.86-1,962

Finding the Fourth Proportional to 2,704.60, 3,732.86 and 1,962

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Solution

The fourth proportional to 2,704.60, 3,732.86 and 1,962 is: 2,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.60 : 3,732.86 = 1,962 : x
  2. Step 2: Convert to fraction form
    2,704.60/3,732.86 = 1,962/x
  3. Step 3: Cross multiply
    2,704.60x = 3,732.86 × 1,962
  4. Step 4: Simplify right side
    2,704.60x = 7,323,871.32
  5. Step 5: Solve for x
    x = 7,323,871.32/2,704.60
  6. Step 6: Final answer
    x = 2,707.93

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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.