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Finding the Fourth Proportional to 2,687.16, 3,704.86 and 1,741.32

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Solution

The fourth proportional to 2,687.16, 3,704.86 and 1,741.32 is: 2,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.16 : 3,704.86 = 1,741.32 : x
  2. Step 2: Convert to fraction form
    2,687.16/3,704.86 = 1,741.32/x
  3. Step 3: Cross multiply
    2,687.16x = 3,704.86 × 1,741.32
  4. Step 4: Simplify right side
    2,687.16x = 6,451,346.82
  5. Step 5: Solve for x
    x = 6,451,346.82/2,687.16
  6. Step 6: Final answer
    x = 2,400.80

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1.5x scale

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.