Home / 2,741.76-3,784.32-1,958.16

Finding the Fourth Proportional to 2,741.76, 3,784.32 and 1,958.16

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Solution

The fourth proportional to 2,741.76, 3,784.32 and 1,958.16 is: 2,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.76 : 3,784.32 = 1,958.16 : x
  2. Step 2: Convert to fraction form
    2,741.76/3,784.32 = 1,958.16/x
  3. Step 3: Cross multiply
    2,741.76x = 3,784.32 × 1,958.16
  4. Step 4: Simplify right side
    2,741.76x = 7,410,304.05
  5. Step 5: Solve for x
    x = 7,410,304.05/2,741.76
  6. Step 6: Final answer
    x = 2,702.75

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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.